
List of publications
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Universal adic approximation, invariant measures and scaling entropy
(with P.B.Zatitskiy).
PDMI Preprint 16/2016 (2016).

Special representations of Iwasawa subgroups of simple Lie groups (with M.I.Graev).
Zapiski Nauchn. Semin. POMI 448, 96106 (2016).

Asymptotic theory of path spaces of graded
graphs and its applications.
Japanese J. Math. 11, No. 2, 151218 (2016).

Laplace operators in gamma analysis (with D.Hagedorn, Yu.Kondratiev, and E.Lytvynov).
In: Stochastic and Infinite Dimensional Analysis. Trends in Mathematics, C.C.Bernido et al. (eds.), Springer, 2016, pp. 119147.

Smoothness and standardness in the theory of AFalgebras and in the problem on invariant measures.
In: Probability and Statistical Physics in St. Petersburg, V.Sidoravicius and
S.Smirnov (eds.), Proceedings of Symposia in Pure Mathematics 91, Amer. Math. Soc. (2016), pp. 430443.
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Several remarks on Pascal automorphism and infinite ergodic theory.
Armenian J. Math. 7, No. 2, 8596 (2015).

Equivalence of the Brownian and energy representations (with S.Albeverio, B.K.Driver, M.Gordina).
Zapiski Nauchn. Semin. POMI 441, 1744 (2015).

Integration of virtually continuous functions over bistochastic measures and the trace formula for nuclear operators (with P.B.Zatistkiy and F.V.Petrov),
Algebra i Analiz 27, No. 3, 6674 (2015).

Invariant measures: new aspects of dynamics, combinatorics and representation theory.
In: The Fifteenth Takagi Lectures, 2728 June 2015, Tohoku, The Mathematical Society of Japan, 2015, ISSN 21873267, pp. 3979.

On the classification problem of matrix distributions of measurable functions in several variables (with U.Haboeck).
Zapiski Nauchn. Semin. POMI 441, 119143 (2015).
 Cohomology of the Iwasawa subgroup of the group U(p,p) in nonunitary representations (with M.I.Graev).
Zapiski Nauchn. Semin. POMI 436, 112121 (2015).
English translation to appear in J. Math. Sci. (N.Y.).

Standardness as an invariant formulation of independence.
Funct. Anal. Appl. 49, No. 4, 1833 (2015).

Laplace operators on the cone of Radon measures (with Yu.Kondratiev and E.Lytvynov).
J. Funct. Anal. 269, No. 9, 29472976 (2015).

Stable representations of the infinite symmetric group (with
N.I.Nessonov).
Izv. RAN. Ser. Mat. 79, No. 6, 93124 (2015).

Phase transition in the exit boundary problem for random walks on groups (with
A.V.Malyutin).
Funct. Anal. Appl. 49, No. 2, 8696 (2015).

Equipped graded graphs, projective limits of simplices, and their boundaries.
Zapiski Nauchn. Semin. POMI 432, 83104 (2015).
English translation to appear in J. Math. Sci.

Classification of finite metric spaces and combinatorics of convex polytopes.
Arnold Math. J. 1, No. 1, 7581 (2015).

The serpentine representation of the infinite symmetric group and the basic representation of the affine Lie algebra
$\widehat{sl}_2$ (with N.V.Tsilevich).
Lett. Math. Phys. 105, No. 1, 1125 (2015).
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Virtual continuity of measurable functions and
its applications (with P.B.Zatitskiy and F.V.Petrov).
Uspekhi Mat. Nauk 69, No. 6, 81114 (2014).

The problem of describing central measures on the path spaces of graded graphs.
Funct. Anal. Appl. 48, No. 4, 120 (2014).

Cohomology in nonunitary representations of semisimple Lie groups (the group U(2,2)) (with
M.I.Graev).
Funct. Anal. Appl. 48, No. 3, 113 (2014).

MongeKantorovich problem along years.
In: Advances in Economics and Optimization,
D.Wingkay Yeung et al. (eds.), Nova Science Publishers (2014),
Chapter 2, pp. 718.

Infinitedimensional SchurWeyl duality and the CoxeterLaplace operator
(with
N.V.Tsilevich).
Comm. Math.
Phys. 327, No. 3, 873885 (2014).

Intrinsic
metric on graded graphs, standardness, and invariant
measures.
Zapiski Nauchn. Semin. POMI 421, 5867 (2014).

Finite traces and representations of the group of infinite matrices
over a finite field
(with V.Gorin and S.Kerov).
Adv. in Math. 254, 331395 (2014).
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Virtual continuity of measurable functions of several variables and
embedding theorems (with P.B.Zatitskiy and F.V.Petrov).
Funct. Anal. Appl. 47, No. 3, 165173 (2013).

C^*algebras associated with endomorphisms and polymorphisms of compact
abelian groups
(with
J.Cuntz).
Comm. Math. Phys. 321, No. 1, 157179 (2013).

Special representations of nilpotent Lie groups and the associated
Poisson representations of current groups (with
M.I.Graev).
Moscow Math. J. 13, No. 2, 345360 (2013).

New developments in the theory of metric spaces
(in Russian).
In: Proceedings of the Globus Seminar, Vol. 6, MCCME, Moscow
(2013), pp. 243272.

Two
ways to define compatible metrics on the simplex of measures.
Zapiski Nauchn. Semin. POMI 411, 3848 (2013).

Between
"very large" and "infinite": the asymptotic representation theory.
Probability and Mathematical Statistics 33, Fasc. 2,
467476 (2013).

Geometry and dynamics of admissible metrics in measure spaces
(with
F.Petrov and P.Zatitskiy).
Central Europ. J. Math. 11, No. 3, 379400 (2013).
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Nonsingular transformations of the symmetric Levy processes
(with N.V.Smorodina),
Zapiski Nauchn. Semin. POMI 408, 102114 (2012). English version
to appear in J. Math. Sci.

On classification of measurable functions of several variables,
Zapiski Nauchn. Semin. POMI 403, 3557 (2012). English
version
to appear in J. Math. Sci. 190, No. 3 (2013).

Representation of the infinitedimensional groups of rank one
(with
M.I.Graev).
Moscow Math. J. 12, No. 3, 117129 (2012).
ArXiv version.

Special representations of the groups
U(∞,1) and O(∞,1) and
related representations of the current groups U(∞,1)^{X} and
O(∞,1)^{X}
in a quasiPoisson space
(with
M.I.Graev).
Funct. Anal. Appl. 46, No. 1, 110 (2012).

Stable states and representations of the infinite symmetric group
(with N.I.Nessonov).
Dokl. Math. 86, No. 1, 450453 (2012).

Totally nonfree actions and the infinite
symmetric group.
Moscow Math. J. 12, No. 1, 193212 (2012).
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Information, Entropy, Dynamics.
In: Mathematics of the XXth Century: A View from St.Petersburg [in Russian], MCCME, Moscow (2010), pp. 4776.

Nonfree
actions of countable groups and their characters.
Zapiski Nauchn. Semin. POMI 378, 516 (2010).
English translation: J. Math. Sci.
174, No. 1, 16 (2011).

Dynamics
of metrics in measure spaces and their asymptotics invariants.
Markov Processes and Related Fields 16, No. 1, 169185 (2010).

Orbit theory, locally finite permutations and Morse arithmetic.
In: Dynamical Numbers: Interplay between Dynamical Systems and
Number Theory, Contemp. Math. 532, (2010), pp. 115136.

The Word and Geodesic
Problems in Free Solvable Groups
(with A.Myasnikov, V.Roman'kov, and A.Ushakov).
Trans. Amer. Math. Soc. 362, 46554682 (2010).

Uncountable graphs and invariant measures on
the set of universal countable graphs
(with F.V.Petrov)
Random Structures and Algorithms 37, No. 3, 389406 (2010).

Approximation of the maximal commutative subgroups of GL(n, R)
(with O.Karpenkov).
J. Fixed Point Theory 7, No. 1, 241263 (2010).
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Invariant measures for the continual Cartan
subgroup
J. Funct. Anal. 255, No. 9, 26612682 (2008).

The adic realization of the
Morse transformation and the extension
of its action to the solenoid (with B.Solomyak).
Zapiski Nauchnykh Seminarov POMI 360, 7090 (2008).
English translation:
J. Math. Sci. (New York) 158, No. 6, 809818 (2009).

Integral models
of unitary representations of current groups with values in semidirect
products
(with M.I.Graev).
Funct. Anal. Appl. 42, No. 4, 279289 (2008).

Integral representations of current groups
(with M.I.Graev)
Funct. Anal. Appl. 42, No. 1, 2232 (2008).

The behavior of the Laplace transform of the invariant measure on
the hypersphere of high dimension.
J. Fixed Point Theory Appl. 3, No. 2, 317329 (2008).

Globalization of the partial isometries of metric spaces
and local approximation of the group of isometries of the Urysohn
space.
Topology Appl. 155, No. 14, 16181626 (2008).

A new approach to the representation theory of the symmetric groups.
IV. Z_2graded groups and algebras (with A.N.Sergeev).
Moscow Math. J. 8, No. 4, 813842 (2008).

PoissonFurstenberg boundary
of the braid groups and MarkovIvanovsky normal form
(with A.V.Malyutin).
Izvestiya RAN, Ser. Matem. 72, No. 6, 105132 (2008).

Algebraic
polymorphisms (with K.Schmidt).
Ergodic Theory Dynam. Systems 28, 633642 (2008).

Linearly rigid
metric spaces and the embedding problem
(with J.Melleray and F.V.Petrov).
Fund. Math. 199, No. 2, 177194 (2008).

The local stationary presentation of the alternating groups and normal
form
(with M.Vsemirnov).
J. Algebra 319, No. 10, 42224229 (2008).
To the main menu

Scaled entropy of filtrations of
sigmafields
(with A.D.Gorbulsky).
Probab. Theory Appl. 52, No. 3, 446467 (2007).

Four drafts on the representation theory of the group of
infinite matrices over a finite field
(with S.V.Kerov).
Zapiski Nauchn. Semin. POMI 344, 536, 2007. English
translation: J. Math. Sci. 147, No. 6, 71297144 (2007).

Does there exist the
Lebesgue measure in the infinitedimensional space?
Proceedings of the Steklov Institute of Mathematics 259,
256281 (2007).

Krein
duality, positive 2algebras, and dilation of comultiplications.
Funct. Anal. Appl. 41, No. 2, 99114 (2007).

Induced representations of the
infinite symmetric group
and their spectral theory (with N.V.Tsilevich).
Dokl. Akad. Nauk 412, No. 1, 710 (2007).
English translation: Doklady Mathematics 75, No. 1, 14 (2007).

Induced representations of the
infinite symmetric group (with N.V.Tsilevich).
Pure and Appl. Math. Quarterly 3, No. 4, 10051026 (2007).

Espaces metriques
lineairement rigides (with
J.Melleray and F.V.Petrov).
C. R. Acad. Sci. 344, no. 4, p. 235240 (2007).
To the main menu

Twisted
Burnside theorem for type II_1 groups: an
example (with A.Felshtyn and E.Troitsky).
Math. Res. Lett. 13, no. 5, 719728 (2006).
 Compactness
of the congruence
group of measurable functions in
several variables (with U.Haboeck).
Zapiski Nauchn. Semin. POMI 334, 5767 (2006).

On
F.A.Berezin and his work on representations of current
groups.
Zapiski Nauchn. Semin. POMI 331, 514 (2006).

Special
representations of the groups SO(n,1) and SU(n,1)
(with M.I.Graev).
Uspekhi Mat. Nauk
61, no. 5, 388 (2006).

A new approach to the representation theory of
the symmetric groups, III: Induced representations and the
FrobeniusYoung correspondence.
Moscow Math. J. 6, No. 3, 567585 (2006).

Traces on infinitedimensional
Brauer algebras (with P.Nikitin).
Funct. Anal. Appl. 40, no. 3, 311 (2006).
Preprint version
 On different models of
representations of the infinite symmetric group
(with N.V.Tsilevich).
Adv. Appl. Math. 37, 526540 (2006)
 Fluctuation of maximal particle energy of quantum ideal gas and random
partitions
(with Yu.Yakubovich).
Comm. Math. Phys. 261, no. 3, 759769 (2006).
 Markov measures on Young tableaux
and induced representations of the infinite symmetric group
(with N.V.Tsilevich).
Prob. Theory Appl. 51, no. 1, 4763 (2006).

GelfandTsetlin algebras, expectations, inverse limits,
Fourier analysis.
In:
"Unity of Mathematics. In Honor of
the Ninetieth Birthday of I.M.Gelfand".
Progr. Math. 244. Birkhauser, 2006,
pp. 619631.

Some isometry groups of Urysohn spaces (with P.Cameron).
Ann. Pure Appl. Logic 143 no. 13, 7078 (2006).
 C*Algebras
of irreversible dynamical systems (with R.Exel).
Canad. J. Math. 58, no. 1, 3963 (2006).

Universality and randomness for the graphs and metric spaces.
In: "Frontiers in Number Theory, Physics and Geometry",
Vol. 1:
On random matrices, zeta functions and dynamical systems.
Springer, 2006, pp. 245268.
To the main menu
 Limit shapes of typical geometric configurations and
their applications
In Globus, No. 2, MCCME, Moscow, 2005, pp. 103125.

Towards the definition of metric hyperbolicity.
Moscow Math. J. 5, No. 3, 721737 (2005).

On the
Fourier transform on the infinite symmetric group (with
N.V.Tsilevich).
Zapiski Nauchn. Semin. POMI 325, 6182 (2005).

How
does a typical Markov operator look like?
Algebra i Analiz 17, No. 5, 91104 (2005). English translation
to appear in St.Petersburg Math. J.

The basic representation of the current group
O(n,1)^X in the L^2 space
over the generalized Lebesgue measure (with M.I.Graev).
Indag. Math. 16, No. 3/4, 499529 (2005).
 On representations of groups of SO(n,1) currents (with
M.I.Graev).
Funkts. Anal. Prilozh. 39, No. 2,
112 (2005).

Polymorphisms, Markov processes, and quasisimilarity.
Discrete Contin. Dyn.
Syst. 13, No. 5, 13051324 (2005).
 Geometrical
approach to the free solvable groups (with S.V.Dobrynin).
Internat. J. Algebra Comput. 15, No. 5&6, 118 (2005).
To the main menu

Harmonic analysis on the infinite symmetric group (with S.Kerov and
G.Olshanski).
Inv. Math. 158, No. 3, 551642 (2004).

Kantorovich metric: initial history and littleknown
applications.
Zapiski Nauchn. Semin. POMI 312, 6985 (2004).
English version: J. Math. Sci.
133, No. 4, 14101417 (2006).
 Three lectures on invariant measures and universality.
In: Dynamics and Randomness II,
A.Maass, S.Martinez, and J.San Martin (eds.),
Kluwer Academic Publ., Netherlands, 2004, pp.199228.
 Random metric spaces and universality.
Uspekhi Mat. Nauk 59, No. 2(356), 65104 (2004).
English translation:
Russian Math. Surveys 59, No. 2, 259295 (2004).

A new approach to the representation theory of symmetric groups. II
(with A.Okounkov).
Zapiski Nauchn. Semin. POMI 307, 5798 (2004).
English translation: J. Math. Sci. 131, No. 2,
54715494 (2006).
To the main menu
 Kolmogorov's example (a survey of actions of infinitedimensional
groups with invariant measure).
Teor. Veroyatnost. i Primenen. 48, No. 2, 386391 (2003).
English translation:
Theory Probab. Appl. 48, No. 2, 373378 (2004).
 Two lectures on the asymptotic representation theory
and statistics of Young diagrams.
In "Asymptotic Combinatorics with
Applications to Mathematical Physics" (A.M.Vershik, ed.).
Lecture Notes
in Math. 1815, 161182. SpringerVerlag,
BerlinHeidelberg, 2003.
 Asymptotics of the uniform measure on the simplex, random
compositions and partitions (with Yu.Yakubovich).
Funkts. Anal. i Prilozh. 37, No. 4, 3948 (2003).
English translation:
Funct. Anal. Appl. 37, No. 4, 273180 (2003).

Fock factorizations, and decompositions of the L^2 spaces over general
Levy processes (with N.Tsilevich).
Uspekhi Mat. Nauk 58, No. 3(351), 350 (2003). English
translation:
Russian Math. Surveys 58, No. 3, 427472 (2003).

Strange factor representations of type II_1, and pairs of dual dynamical
systems.
Moscow Mathematical Journal 3,
No. 4, 11411157 (2003).
Preprint version
 Canonical semigroups of states and cocycles for the group
of automorphisms of a
homogeneous tree (with G.Kuhn).
Algebr. Represent. Theory
6, no. 3, 333352 (2003).
Preprint version .
 FrobeniusSchur functions
(with G.Olshansky, A.Regev, and an Appendix by V.Ivanov).
In "I.Schur Memorial Conference". Rehovot,
Israel, 2000.
Progress in Mathematics 210, 251299.
Birkhauser, 2003.

Random and universal metric spaces.
In "Fundamental Mathematics Today" (S.K.Lando and O.K.Sheinman, eds.),
Independent University of Moscow, 2003, pp.5488.
Preprint version.
To the main menu
 Distance
matrices, random metrics, and Urysohn space,
preprint.
 Random metric space is Urysohn space (in Russian).
Dokl. Ross. Akad. Nauk 387, No.6, 14 (2002). English
translation: Russian Math. Dokl. 387, No. 6,
733736 (2002).
Russian preprint version
Preliminary English version
 Graded Lie algebras and dynamical systems.
Acta Applicandae Mathematicae 73, 239249 (2002).
Preprint version
 Classification of measurable functions of several arguments,
and invariantly distributed random matrices (in Russian).
Funkts. Anal. Prilozh. 36, no.2, 1228 (2002). English
translation: Funct. Anal. Appl. 36, no.2, 93105 (2002).
Preprint version
To the main menu
 V.A.Rokhlin and the modern theory of measurable partitions.
Amer. Math. Soc. Transl. Ser. 2 202, 1120 (2001).
 An infinitedimensional analogue of the
Lebesgue measure and distinguished properties of the gamma process
(with N.Tsilevich and M.Yor).
J. Funct. Anal. 185, No.1, 274296 (2001).

Limit shape and fluctuations of random
partitions of naturals with fixed number of summands
(with Yu.V.Yakubovich).
Moscow Math. J. 1, No. 3, 457468 (2001).

Limit forms of generic geometric configurations and their
applications (in Russian).
Zapiski Nauchn. Semin. POMI
280, 73100 (2001). English translation: J. Math. Sci.
119, No. 2, 165177 (2004).
 The MarkovKrein
identity and quasiinvariance of the gamma process
(with N.V.Tsilevich and M.Yor).
Zapiski Nauchn. Semin. POMI 283, 2136 (2001).
English translation: J. Math. Sci.
121, No. 3, 23032310 (2004).

Classification of the measurable functions of
several arguments and invariant measures on
the space of matrices and tensors, 1.
ESI preprint 1107 (2001).
To the main menu
 Dynamic theory of growth in groups: entropy,
boundaries, examples.
Uspekhi Mat. Nauk 55, No.4(334),
59128 (2000). English translation:
Russian Math. Surveys 55, No.4,
667733 (2000).
 Numerical
invariants of exponential groups, and a locally free
approximation of braid groups (in Russian).
Zapiski Nauchn. Semin. POMI.
266, 5163 (2000). English translation: J. Math.
Sci. 113, No. 4, 569575 (2003).
 Large deviations for integer partitions (with A.Dembo and
O.Zeitouni).
Markov Process and Related Fields 6, No.2, 147179
(2000).
 Statistical
properties of locally free
groups with applications to braid groups and growth of random heaps
(with S.Nechaev and R.Bikbov).
Comm. Math. Phys. 212, No.2, 469501 (2000).
 Graded
Lie algebras whose Cartan
subalgebra is the algebra of polynomials of one variable (with B.B.Shoikhet).
Teoret. Mat. Fiz. 123, No.2, 345352 (2000). English translation:
Theoret. and Math. Phys. 123, No.2, 701707 (2000).
Russian
preprint version.
 Geometry and
dynamics on the free solvable groups.
ESI preprint 899 (2000).
To the main menu
 Large
deviations in the geometry of convex
lattice polygons (with O.Zeitouni).
Israel J. Math. 109, 1327 (1999).
 Numerical
characteristic of the groups and their relations.
Zapiski Nauchn. Semin. POMI 256, 518 (1999).
English translation: J. Math. Sci. 107, No. 5, 41474156 (2001).
 Quasiinvariance of the gamma process and multiplicative
properties of the PoissonDirichlet measures (with N.Tsilevich).
C. R. Acad. Sci. Paris Ser.I 329, No.2, 163168 (1999).
 A local limit theorem for
random partitions of natural numbers (with G.A.Freiman and
Yu.V.Yakubovich).
Teor. Veroyatn. i Primenen. 44, No.3,
506525 (1999). English translation:
Theory Probab. Appl. 44, No.3, 453468 (2000).
 Continuous lattices of partitions and
lattices of continuous partitions (with Yu.V.Yakubovich).
Trudy St. Peterb. Mat. Obschestva 7,
522 (1999). English translation:
Amer. Math. Soc. Transl. Ser. 2 203, 115 (2001).
To the main menu
 Ergodic properties of the Erdos measure,
the entropy of the golden shift, and related problems
(with N.A.Sidorov).
Monatsh. Math. 126, No.3, 215261 (1998).
 Arithmetic construction of sofic partitions of
hyperbolic toral automorphisms (with R.Kenyon).
Ergodic Theory Dynam. Systems 18, No.2, 357372 (1998).
 Rearrangements convexes des marches aleatoires
(with Yu.A.Davydov).
Ann. Inst. H.Poincare Probab. Statist.
34, No.1, 7395 (1998).
 Examples of nonlinear continuous tensor product of measure
spaces and nonFock factorizations
(with B.S.Tsirelson).
Rev. Math. Phys. 10, No.1, 81145 (1998).
 Bijective arithmetic codings of hyperbolic automorphisms
of the 2torus, and binary quadraic forms (with N.A.Sidorov).
J. Dynam. Control Systems 4, No.3, 365399 (1998).
 Bijective
coding of automorphisms of a torus,
and binary quadratic forms (with N.A.Sidorov).
Uspekhi Mat. Nauk 53, No.5(323), 231232 (1998).
English translation: Russian Math. Surveys 53, No.5, 11061107 (1998).
 The universal Uryson space, Gromov's metric triples, and random
metrics on the series of natural numbers.
Uspekhi Mat. Nauk 53, No.5, 5764 (1998). English translation:
Russian Math. Surveys 53, No.5, 921928 (1998).
 On an infinitedimensional group over a finite field
(with S.V.Kerov).
Funkts. Anal. Prilozh. 32, No.3, 310 (1998).
English translation: Funct. Anal. Appl. 32, No.3, 147152 (1998).
To the main menu
 Groups
that are locally embeddable in the class of finite groups
(with E.I.Gordon).
Algebra i Analiz 9, No.1, 7197 (1997). English translation:
St.Petersburg Math. J. 9, No.1, 4967 (1997).
 Limit distribution of the energy of a quantum ideal gas
from the point of view of the theory of partitions of natural numbers.
Uspekhi Mat. Nauk 52, No.2, 139146 (1997). English translation:
Russian Math. Surveys 52, No.2, 379386 (1997).
Russian
preprint version.
 Algebras in Plancherel duality, and algebraic combinatorics
(with S.A.Evdokimov and I.N.Ponomarenko.
Funkts. Anal. Pril. 31, No.4, 3446 (1997). English translation:
Funct. Anal. Appl. 31, No.4, 252261 (1998).
 Asymptotics
of Young diagrams and hook numbers (with A.Regev).
Electronic J. Combin. 4, No.1., R22 (1997).
 Calgebras and algebras in Plancherel duality
(with S.A.Evdokimov and I.N.Ponomarenko).
Zapiski Nauchn. Semin. POMI
240, 5366 (1997). English translation:
J. Math. Sci. 96, No.5, 34783485 (1999).
Russian
version.
 The speed of convergence in ergodic
theorem for locally finite groups and reversed martingales
(with A.G.Kachurovsky).
In "Nonlinear dynamical systems", 4794.
Izdat. SPbGU, 1997 (in Russian).
To the main menu
 Ergodic
unitarily invariant measures on the space of infinite
Hermitian matrices (with G.Olshansky).
Amer. Math. Soc. Transl. Ser. 2 175, 137175 (1996).
 Canonical states on the group of automorphisms of a
homogeneous tree (with G.Kuhn).
In "The Gelfand Mathematical Seminars 19931995", 171178.
Birkhauser, Boston, 1996.
 Statistical mechanics of combinatorial partitions, and
their limit configurations.
Funkts. Anal. Prilozh. 30, No.2, 1930 (1996).
English translation: Funct. Anal. Appl. 30, No.2, 90105 (1996).
 An inductive method of presenting the theory of representations
of symmetric groups (with A.Okounkov).
Uspekhi Mat. Nauk 51, No.2, 153154 (1996). English translation:
Russian Math. Surveys 51, No.2, 355356 (1996).
 A new
approach to representation theory of symmetric groups
(with A.Okounkov).
Selecta Math. 2,
No.4, 581605, (1996).
Preprint version.
 Combinatorial algebras and multivalued involutive groups
(with V.M. Bukhshtaber, I.N.Ponomarenko, and S.A.Evdokimov).
Funkts. Anal. Prilozh. 30, No.3, 1218 (1996). English translation:
Funct. Anal. Appl. 30, No.3, 158162 (1996).
 Random
walks on braid groups: Brownian bridges, complexity
and statistics (with S.Nechaev and A.Grosberg).
J. Phys. A 29, No.10, 24112433 (1996).
To the main menu
 Asymptotic combinatorics and algebraic analysis.
In Proc. International Congress of Mathematicians
(Zurich, 1994), vol.II, 13841394. Birkhauser, Basel, 1995.
 The adic realizations of the ergodic actions with the
homeomorphisms of the Markov compact and the ordered Bratteli diagrams.
Zapiski Nauchn. Semin. POMI 223, 120126 (1995). English translation:
J. Math. Sci. 87, No.6, 40544058 (1997).
To the main menu
 Calculation of the Grothendieck group of the algebra
C(SL(2,k)), where k is a countable algebraically closed field
(with K.P.Kokhas).
Algebra i Anal. 2, No.6, 98106 (1990). English translation:
Leningrad Math. J. 2, No.6, 12511259 (1991).
 A nonholonomic Laplace operator (with V.Ya.Gershkovich).
Probl. Mat. Anal. 11, 96108 (1990). English translation:
J. Sov. Math. 64, No.6, 12891296 (1993).
 Local algebras and a new version of Young's orthogonal form.
In "Topics in Algebra, part 2:
Commutative Rings and Algebraic Groups"
(Warsaw 1988), Banach Cent. Publ. 26, Part 2,
467473 (1990).
 Metagonal groups of finite and infinite dimensions.
In "Representation of Lie groups and related topics".
Adv. Stud. Contemp. Math. 7, 137 (1990).
 New examples of continuum graded Lie algebras (with M.V.Saveliev).
Phys. Lett. A 143, No.3, 121128 (1990).
 On topological questions of real complexity theory and
combinatorial optimization.
Lect. Notes in Math. 1453, 263270 (1990).
 The Grothendieck group of the infinite symmetric group
and symmetric functions (with the
elements of the theory of K_{0}functor of AFalgebras)
(with S.V.Kerov).
In "Representation of Lie groups and related topics". Adv. Stud.
Contemp. Math. 7, 39117 (1990).
 Polynomially computable approximation of families of
semialgebraic sets, and combinatorial complexitiy
(with A.I.Barvinok).
Trudy Leningr. Mat.
Obshchestva 1, 826 (1991). English translation:
Amer. Math. Soc. Transl. Ser. 2 155, 117 (1993).
 Reduction of nonholonomic variational problems to
isoperimetric ones and connections in principal bundles
(with O.A.Granichina).
Mat. Zametki 49, No.5, 3744 (1991). English translation:
Math. Notes 49, No.5, 467472 (1991).
 A new class of infinitedimensional Lie algebras (continuum Lie algebras) and associated
nonlinear systems (with M.V.Saveliev).
In
"Differential geometric methods in theoretical physics" (Rapallo, 1990).
Lect. Notes in Phys. 375, 162170 (1991).
 The fibadic expansions of real numbers and adic
transformation.
Preprint Institut MittagLeffler 4, 19 (1991).
 On the classification of Zgraded Lie algebras of constant growth which have the
algebra C[h] as Cartan subalgebra.
In "Quantum groups" (Leningrad 1990).
Lect. Notes in Math. 1510, 395 (1992).
 Adic models of ergodic transformations, spectral theory,
substitutions, and related topics (with A.N.Livshits).
In "Representation theory and dynamical systems". Adv. Sov. Math. 9,
185204 (1992).
 Formulation of Bell type problems, and
"noncommutative" convex geometry
(with B.S.Tsirelson).
In "Representation theory and dynamical systems". Adv. Sov. Math. 9,
95114 (1992).
 Manifolds with intrinsic metric, and nonholonomic spaces
(with V.N.Berestovsky).
In "Representation theory and dynamical systems". Adv. Sov. Math. 9, 253267 (1992).
 Asymptotic behaviour of the number of faces of random polyhedra
and the neighbourliness problem (with P.V.Sporyshev).
Selecta Math. Sov. 11, No.2, 181201 (1992).
 New examples of continuum graded Lie algebras (with M.V.Saveliev).
In Proc. Int. Conf. on Algebra, Part 2 (Novosibirsk, 1989).
Contemp. Math. 131, Part 2, 123133 (1992).
 Asymptotic aspects of the representation theory
of symmetric groups.
Selecta Math. Sov. 11, No.2. 159179 (1992). Translation from
the Addendum to the Russian translation of the book by G.James "Theory of the
representations of symmetric groups". Mir, Moscow, 1982.
 On nonlinear equations assosiated with Lie algebras of
diffeomorphism groups of twodimensional manifols
(with M.Saveliev, S.Savelieva, and R.Kashaev).
In
"Ideas and methods in mathematical analysis, stochastics and
applications"
(Oslo, 1988), 295307. Cambridge Univ. Press, Cambridge, 1992.
 Arithmetic isomorphism of hyperbolic automorphism of a torus
and of sofic shifts.
Funkts. Anal. Prilozh. 26,
No.3, 2227 (1992). English translation:
Funct. Anal. Appl. 26, No.3, 170173 (1992).
 On the number of convex lattice polytopes (with
I.Barany).
Geom. Funct. Anal. 2, No.4, 381393 (1992).
 The topology of configuration spaces, convex
polytopes, and representations of lattices (with
A.I.Barvinok and N.E.Mnev).
Trudy Mat. Inst. Steklova 193,
3741 (1992). English translation:
Proc. Steklov Inst. Math. 193, 3741 (1993).
 Lie algebras generated by dynamical systems.
Algebra i Analiz 4, No.6, 103113 (1992). English translation:
St.Petersburg Math. J. 4, No.6, 11431151 (1993).
 Harmonic analysis on the infinite symmetric group.
A deformation of the regular representation
(with G.Olshansky and S.Kerov)
C.R.Acad. Sci. Paris, Ser. I.
316, No.8, 773778 (1993).
 Arithmetic expansions associated with rotation of the
circle and continued fractions (with N.A.Sidorov)
Algebra i Analiz 5, No.6, 97115 (1993). English translation:
St.Petersburg Math. J. 5, No.6 (1993)
 The limit form of convex integral polygons and related
problems.
Funkts. Anal. Prilozh. 28, No.1, 1625 (1994). English translation:
Funct. Anal. Appl. 28, No.1, 1320 (1994).
 Theory of decreasing sequences of measurable
partitions.
Algebra i Analiz 6, No.4, 168 (1994). English translation:
St.Petersburg Math. J. 6, No.4, 705761 (1995).
 Random walks on multiconnected manifolds and
conformal field theory (with S.Nechaev)
J. Phys. A 27, No.7, 22892298 (1994).
 Locally transversal symbolic dynamics.
Algebra i Analiz 6, No.3, 94106 (1994). English translation:
St.Petersburg Math. J. 6, No.3, 529540 (1995).
To the main menu
 Amenability and approximability of groups and algebras.
Uspekhi Mat. Nauk 40, No.2, 217219 (1985) (in Russian).
 Asymptotics of maximal and typical dimensions of
irreducible representations of a symmetric group (with S.V.Kerov).
Funkts. Anal. Prilozh. 19, No.1, 2536 (1985). English translation:
Funct. Anal. Appl. 19, 2131 (1985).
 General ergodic theory of groups of measure preserving
transformations (with I.P.Kornfel'd and Ya.G.Sinai).
In "Itogi Nauki i Tekhniki, Ser.
Sovrem. Probl. Mat." 2, 5111. VINITI, Moscow, 1985. English translation in
"Dynamical systems. II. Ergodic theory with applications to
dynamical systems and statistical
mechanics". Encycl. Math. Sci. 2, 198 (1989).
 Locally semisimple algebras. Combinatorial theory and
the Kfunctor (with S.V.Kerov).
In "Itogi Nauki i Tekhniki, Ser. Sovrem. Probl. Mat." 26, 356.
VINITI, Moscow, 1985. English translation:
J. Sov. Math. 38, 17011733 (1987).
 Trajectory theory (with A.L.Fedorov).
In "Itogi Nauki i Tekhniki, Ser. Sovrem. Probl. Mat." 26, 171211.
VINITI, Moscow, 1985. English translation:
J. Sov. Math. 38, 17991822 (1987).
 Models of representations of current groups
(with I.M.Gelfand and M.I.Graev).
In
"Representations of Lie groups and Lie algebras"
(Budapest, 1971), 121179. Akad. Kiado, Budapest, 1985.
 Approximation for actions
of amenable groups and transversal automorphism (with A.A.Lodkin).
In
"Operator algebras and their connections with topology and ergodic
theory"
(Busteni, 1983). Lect. Notes in Math. 1132, 331346 (1985).
 The commutative model of the principal representation of the
current group SL(2,R)^{X} with
respect to a unipotent subgroup (with I.M.Gelfand and M.I.Graev).
In "Group theoretical methods in physics"
(Zvenigorod, 1982), 322.
Harwood Academic Publ., Chur, 1985.
 Infinitedimensional metagonal and metaplectic groups.
In "Group theoretical methods in physics" (Zvenigorod, 1982),
2327. Harwood Academic Publ., Chur, 1985.
 A bijective proof of the Jacobi identity, and reshapings of the
Young diagrams.
Zapiski Nauchn. Semin. LOMI 155, 36 (1986). English translation:
J. Sov. Math. 41, No.2, 889891 (1988).
 Geodesic flow on SL(2,R) with nonholonomic constraints
(with V.Ya. Gershkovich).
Zapiski Nauchn. Semin. LOMI 155, 717 (1986). English translation:
J. Sov. Math. 41, No.2, 891898 (1988).
 The characters of the infinite symmetric group and
probability properties of the RobinsonSchenstedKnuth algoritm
(with S.V.Kerov).
SIAM J. Alg. Discr. Methods 7, No.1,
116124 (1986).
 An asymptotic estimate of the average number of steps
of the parametric simplex method (with P.V.Sporyshev).
Zhurnal Vychisl. Matem. i Matem. Fiziki 26, No.6, 813826 (1986). English translation:
USSR Comput. Math. Math. Phys. 26, No.3, 104113 (1986).
 The asymptotic distribution of factorizations of natural
numbers into prime divisors.
Dokl. Akad. Nauk SSSR
289, No.2, 269272 (1986). English translation:
Sov. Math. Dokl. 34, 5761 (1987).
 Nonholonomic problems and the theory of distributions
(with V.Ya. Gershkovich).
Acta Appl. Math. 12, No.2, 181209 (1988). Translation from
the Addendum to the Russian translation of the
book by Ph. Greaffits "External Differential Form and Variational Calculus".
Mir, Moscow, 1986.
 Growth and asymptotics of random configurations.
Uspekhi Mat. Nauk 41, No.1 (1986) (in Russian).
 The geometry of the nonholonomic sphere of threedimensional
Lie groups (with V.Ya.Gershkovich).
In "Geometriya i Teoriya Osobennostej v Nelinejnykh
Uravneniyakh". Novoe v Global'nom Analize, 6175. Voronezh, 1987.
English translation: Lect. Notes in Math. 1334, 309331 (1988).
 Statistics on the set of naturals' partitions, limit forms
of Young random diagrams and asymptotic distributions of the space
of positive series.
In "Probability theory and mathematical statistics" (Vilnius
1985), vol. 2, 683694. VNU Sci. Press, Utrecht, 1987.
 Superstability of hyperbolic automorphisms and unitary dilatations
of Markov operators.
Vestn. Leningr. Univ., Ser. I, No.3, 2833 (1987). English translation:
Vestnik Leningrad Univ. Math. 20, No.3, 2229 (1987).
 Measurable realizations of automorphism groups and integral representations
of positive operators.
Sib. Mat. Zh. 28,
No.1(161), 5260 (1987). English translation:
Sib. Math. J. 28, 3643 (1987).
 Nonholonomic dynamical systems, geometry of distributions and
variational problems (with V.Ya.Gershkovich).
In
"Itogi Nauki i
Tekhniki, Ser. Sovrem. Probl. Mat." 16, 585.
VINITI, Moscow, 1987. English translation:
Encycl. Math. Sci. 16, 181 (1994).
 A partition function connected with Young diagrams.
Zapiski Nauchn.
Semin. LOMI 164, 2029 (1987). English translation:
J. Sov. Math. 47, No.2, 23792386 (1989).
 Convex hulls of orbits of representations of finite
groups and combinatorial optimization (with A.I.Barvinok).
Funkts. Anal. Prilozh. 22,
No.3, 6667 (1988). English translation:
Funct. Anal. Appl. 22, No.3, 224225 (1988).
 A geometric approach to representation of
a partial ordered set.
Vestn. Leningr. Univ.,
Ser. I, No.1, 1214 (1988). English translation:
Vestn. Leningr. Univ., Math. 21, No.1, 1115 (1988).
 Local stationary algebras.
In "Algebra and Analysis" (Kemerovo, 1988).
VINITI, Kemerovo, 1988. English translation:
Amer. Math. Soc. Transl. Ser. 2 148, 113 (1991).
 Methods of representations theory in combinatorial
optimization problems (with A.I.Barvinok).
Izv. Akad. Nauk SSSR, Tekh. Kibern., No.6, 6471 (1988). English translation:
Sov. J. Comput. Syst. Sci. 27, No.5, 17 (1989).
 Estimation of the functional dimension of the orbit space
of germs of distributions in general position
(with V.Ya.Gershkovich).
Mat. Zametki 44, No.5, 596603 (1988). English translation:
Math. Notes 44, No.5, 806810 (1988).
 The Fock space and its relation to nonlinear theory of
functionals on realizations of a Gaussian random process (in Russian).
In "Razrabotka i primenenie approksimatsionnyh metodov k zadacham
sinteza elektricheskih tsepej", 1988.
 Characters and realizations of representations of
an infinitedimensional Hecke algebra,
and knot invariants (with S.V.Kerov).
Dokl. Akad. Nauk SSSR 301,
No.4, 777780 (1988). English translation:
Sov. Math. Dokl. 38, No.1, 134137 (1989).
 Nonholonomic manifolds and nilpotent analysis
(with V.Ya.Gershkovich).
J. Geom. Phys. 5, No.3, 407452 (1988).
 Topology of the convex polytopes' manifolds,
the manifold of the projective configurations
of a given combinatorial type and representations of lattices.
In
"Topology and geometry  Rokhlin Seminar".
Lect. Notes in Math. 1346, 557581 (1988).
 Topological problems in combinatorial and convex geometry and the theory of
representations of partially ordered sets.
In "Topological and geometric
methods of analysis".
Novoe v Global'nom Anal., 5874. Voronezh, 1989 (in Russian).
 A bundle of nilpotent Lie algebras over a nonholonomic
manifold (nilpotentization) (with V.Ya.Gershkovich).
Zapiski Nauchn. Semin. LOMI 172, 2140 (1989).
English translation: J. Sov. Math. (1991).
 Hook formula and related identities.
Zapiski Nauchn. Semin. LOMI 172, 320 (1989). English translation:
J. Sov. Math. (1991).
 A new model of the ergodic transformations.
In "Dynamical systems and ergodic theory"
(Warsaw 1986), Banach Cent. Publ. 23, 381384 (1989).
 Continuum analogues of contragredient Lie algebras
(Lie algebras with a Cartan operator and nonlinear dynamical systems)
(with M.V.Saveliev).
Comm. Math. Phys. 126, No.2, 367378 (1989).
To the main menu
 Functional Lie groups: geometry, analysis,representations.
Uspekhi Mat. Nauk 35, No.6, 181182 (1980) (in Russian).
 Representations of the group of functions taking values
in a compact Lie group (with I.M.Gelfand and M.I.Graev).
Compos.
Math. 42, No.2, 217243 (1980).
 Characters and factor representations of the infinite
symmetric group (with S.V.Kerov).
Dokl. Akad. Nauk SSSR 257, No.5,
10371040 (1981). English translation:
Sov. Math. Dokl. 23, 389392 (1981).
 Random walks on groups and related problems.
Teor. Veroyatn. i Primen. 26, No.1, 190191 (1981)
(in Russian).
 Uniform algebraic approximations of shift and multiplication
operators.
Dokl. Akad. Nauk SSSR 259, No.3, 526529
(1981). English translation:
Sov. Math. Dokl. 24, 97100 (1981).
 Asymptotic theory of characters of the symmetric group
(with S.V.Kerov).
Funkts. Anal. Prilozh. 15, No.4,
1527 (1981). English translation:
Funct. Anal. Appl. 15, 246255 (1982).
 Cohomology of groups in unitary representations,
the neighborhood of the identity, and conditionally positive definite functions
(with S.I.Karpushev).
Matem. Sborn. 119, No.4, 521533 (1982). English translation:
Math. in USSR 47, 513526 (1984).
 Fields of convex polyhedra and the ParetoSmale optimum
(with A.G. Chernyakov).
Optimizatsiya 28(45), 112145 (1982). English translation
in "Functional Analysis, Optimization, and
Mathematical Economics", 290313.
Oxford University Press, New York, 1990.
 Characters and factor representations of the infinite
unitary group (with S.V.Kerov).
Dokl. Akad. Nauk SSSR 267, No.2,
272276 (1982). English translation:
Sov. Math. Dokl. 26, 570574 (1982).
 The commutative model of the principle representation of the current
group $SL(2,R)^X$ with respect to unipotent subgroup.
In "Group theoretical methods in physics", vol.2, 472486.
Nauka, Moscow, 1982.
English translation in
"Group theoretical methods in physics", 321.
Harv. Acad. Publ., London, 1985.
 Amenability and approximation of infinite groups.
Selecta Math. Sov. 2, No 4, 311330 (1982). Revised translation
from the Addendum to the Russian translation of the book by F.Greenleaf
"Invariant means on topological groups". Mir, Moscow, 1973.
 Critical points of fields of convex polytopes and the
ParetoSmale optimum with respect to a convex cone (with A.G.Chernyakov).
Dokl. Akad. Nauk SSSR 266, No.3,
529532 (1982). English translation:
Sov. Math. Dokl. 26, 353356 (1982).
 A theorem on periodical Markov approximation in ergodic
theory.
Zapiski Nauchn. Semin. LOMI 115, 7282 (1982). English translation:
J. Sov. Math. 28, 667674 (1985).
Another English translation in "Ergodic theory and related topics"
(Vitte, 1981). Math. Res. 12, 195206. AkademieVerlag, Berlin, 1982.
 Commutative model of the representation of the group of
flows $SL(2,R)^X$ connected with a unipotent subgroup
(with I.M.Gelfand and M.I.Graev).
Funkts. Anal. Prilozh. 17, No.2,
7072 (1983). English translation:
Funct. Anal. Appl. 17, 137139 (1983).
 Infinitedimensional metagonal and metaplectic groups.
I: General concepts and metagonal groups.
Zapiski Nauchn. Semin. LOMI 123, 335 (1983). English translation:
J. Sov. Math. 28, 459481 (1985).
 The Kfunctor (Grothendieck group) of the infinite
symmetric group (with S.V.Kerov).
Zapiski Nauchn. Semin. LOMI 123, 126151 (1983). English translation:
J. Sov. Math. 28, 549568 (1985).
 Experiments in calculating the dimension of a typical
representation of the symmetric group (with S.V.Kerov and A.B.Gribov).
Zapiski Nauchn. Semin. LOMI 123, 152154 (1983). English translation:
J. Sov. Math. 28, 568570 (1985).
 An estimate of the average number of steps in the simplex
method, and problems in asymptotic integral geometry (with P.V.Sporyshev).
Dokl. Akad. Nauk SSSR 271, No.5,
10441048 (1983). English translation:
Sov. Math. Dokl. 28, 195199 (1983).
 Factorial representations of path groups (with
S.Albeverio, R.HoeghKrohn, and D.Testard).
J. Funct. Anal. 51,
No.1, 115131 (1983).
 Random walks on discrete groups: Boundary and entropy
(with V.A. Kaimanovich).
Ann. Prob. 11, No.3, 457490
(1983).
 Classical and nonclassical dynamics with constraints.
In "Geometriya i Topologiya v Global'nykh Nelinejnykh Zadachakh".
Novoe v Global'nom Analize, 2348. Voronezh, 1983. English translation:
Lect. Notes in Math. 1108, 278301 (1984).
 Star algebras associated with endomorphisms
(with V.A.Arzumanian).
In "Operator algebras and group representations", vol.I (Neptun, 1980).
Monogr. Stud. Math. 17, 1727. Pitman, Boston, 1984.
 Characters, factor representations and Kfunctor of
the infinite symmetric group (with S.V.Kerov).
In "Operator algebras and group representation", vol.II (Neptun, 1980).
Monogr. Stud. Math. 18, 2332. Pitman, Boston, 1984.
 The theory of Markov processes from the standpoint of
theory of contractions.
Lect. Notes in Math. 1043, 101103 (1984).
 Quadratic forms that are positive on the cone, and quadratic
duality.
Zapiski Nauchn. Semin. LOMI 134, 5983 (1984). English translation:
J. Sov. Math. 36, 3956 (1987).
 Algebras with quadratic relations.
In "Spectral theory of operators and infinitedimensional analysis", 3257.
Akad. Nauk Ukrain. SSR., Inst. Mat., Kiev, 1984. English translation:
Selecta Math. Sov. 11, No.4, 293315 (1992).
To the main menu
 Lagrangian mechanics in invariant form
(with L.D.Faddeev).
In "Problems of Theoretical Physics",
vol.2. Functional methods in quantum field theory and statistical physics,
129141. Izdat. LGU, 1975. English translation:
Selecta Math. Sov. 1, No.4, 339350 (1981).
 Best piecewise polynomial approximation (with
V.N.Malozemov and A.B.Pevnyi).
Sib. Math. J. 16, No.5, 925938 (1975). English translation:
Siber. Math. J. 16, 706717 (1976).
 Representations of the group of diffeomorphisms which
are connected with infinite configurations (with I.M.Gel'fand and
M. I. Graev).
Uspekhi Mat. Nauk 30, No.6(186), 350 (1975). English translation:
Russian Math. Surveys 30, No.6, 150 (1975).
Another English translation: Lect. Notes London Math. Soc. 69,
1560 (1982).
 On the evolution of measures defined by the NavierStokes
equations, and on the solvability of the Cauchy problem for Hopf's statistical
equation (with O.A.Ladyzenskaya).
Dokl. Akad. Nauk SSSR 226, No.1,
2629 (1976). English translation:
Sov. Math. Dokl. 17, 1822 (1976).
 The evolution of measures determined by the NavierStokes
equations and the solvability of the Cauchy problem for the Hopf statistical
equation (with O.A.Ladyzenskaya).
Zapiski Nauchn. Semin. LOMI 59,
324 (1976). English translation:
J. Sov. Math. 8, 195212 (1978).
French translation:
Sur l'evolution des mesures determinees par les equations de
NavierStokes et la resolution
du probleme de Cauchy pour l'equation statistique de E.Hopf.
Ann. Scuola Norm. Sup. Pisa Cl. Sci., Ser. 4 4, 209230 (1977).
 On D.Ornstein's papers, weak dependence conditions and
classes of stationary measures.
Teor. Veroyatn. Primen.
21, No.3, 673675 (1976). English translation:
Theory Probab. Appl. 21, 655657 (1977).
 Representations of the group of smooth mappings from a manifold
X into a compact Lie group (with I.M.Gel'fand and M.I.Graev).
Dokl. Akad. Nauk SSSR 232, No.4,
745748 (1977). English translation:
Sov. Math. Dokl. 18, 118121 (1977).
 Representations of the group of smooth mappings
of a manifold X into a compact Lie group
(with I.M.Gel'fand and M.I.Graev).
Compos. Math. 35, No.3, 299334 (1977).
 Asymptotics of the Plancherel measure of the
symmetric group and the limiting form of Young tableaux (with S.V.Kerov).
Dokl. Akad. Nauk SSSR 233, No.6,
10241027 (1977). English translation:
Sov. Math. Dokl. 18, 527531 (1977).
 Limit measures arising in the asymptotic theory
of symmetric groups. I (with A. A. Shmidt).
Teor. Veroyatn. Primen. 22, 7288 (1977). English translation:
Theory Probab. Appl. 22, No.1, 7085 (1977).
 Multivalued mappings with invariant measure (polymorphisms)
and Markov operators.
Zapiski Nauchn. Semin. LOMI 72, 2661 (1977). English translation:
J. Sov. Math. 23, 22432266 (1983).
 Asymptotic problems in the theory of classical groups and
their representations.
Uspekhi Mat. Nauk 32, No.5, 165 (1977) (in Russian).
 Limit measures arising in the asymptotic theory
of symmetric groups. II (with A.A.Shmidt).
Teor. Veroyatn. Primen.
23, No.1, 4254 (1978). English translation:
Theory Probab. Appl. 23, 3649 (1978).
 The action of PSL(2,Z) in R^{1} is
approximable.
Uspekhi Mat. Nauk 33, No.1(199), 209210 (1978). English translation:
Russian Math. Surveys 33, No.1, 221222 (1978).
 Factor representations of the crossed product of
a commutative C*algebra and a semigroup of its endomorphisms
(with V.A.Arzumanian).
Dokl. Akad. Nauk SSSR 238, No.3, 513516 (1978). English translation:
Sov. Math. Dokl. 19, 4852 (1978).
 Are multiplicator and shift uniformly algebraically approximated?
Zapiski Nauchn. Semin. LOMI 81, 7781 (1978). English translation:
Lect. Notes in Math. 1043, 189196 (1984).
 Product of commuting spectral measures need not
be countably additive (with M.S.Birman and M.Z.Solomyak).
Funkts. Anal. Prilozh.
13, No.1, 6162 (1979). English translation:
Funct. Anal. Appl. 13, 4849 (1979).
 Random walks on groups: boundary, entropy, uniform
distribution (with V.A.Kaimanovich).
Dokl. Akad. Nauk SSSR 249, No.1,
1518 (1979). English translation:
Sov. Math. Dokl. 20, 11701173 (1979).
To the main menu
 Decreasing sequences of measurable partitions and their applications.
Sov. Math. Dokl. 11, 10071011 (1970).
 Some remarks on the infinitedimensional problems
of linear programming.
Russian Math. Surveys 25,
No.5, 117124 (1970).
 Nonmeasurable decompositions, orbit theory, algebras
of operators.
Dokl. Akad. Nauk SSSR 199,
10041007 (1971). English translation:
Sov. Math. Dokl. 12, 12181222 (1971).
 Continuum of pairwise nonisomorphic diadic sequences.
Funkts. Anal. i Prilozh. 5, No.3, 1618 (1971). English translation:
Funct. Anal. Appl. 5, 182184 (1971).
 Diagonalizable factors are decomposable.
Uspekhi Mat. Nauk 26, No.5, p.161 (1971) (in Russian).
 Differential geometry and Lagrangian mechanics with constraints
(with L.D.Faddeev).
Dokl. Akad. Nauk SSSR 202, 555557 (1972). English translation:
Sov. Phys. Dokl. 17, 3436 (1972).
 Symmetric groups of higher degree (with A.A.Shmidt).
Sov. Math. Dokl. 206, No.2, 269272 (1972).
 A structure of the tame partitions.
Uspekhi Mat. Nauk
27, No.3(165), 195196 (1972).
 Geometrical theory of states, the von Neumann boundary,
and duality of the C*algebras.
Zapiski Nauchn. Semin. LOMI 29, 147154 (1972). English translation:
J. Sov. Math. 3, 840845 (1975).
 A metric invariant for the automorphisms of measure
space, that is connected with uniform approximation
and sequences of partitions.
Sov. Math. Dokl. 209, No 1, 1518 (1973).
 Four definitions of the scale of an automorphism.
Funct. Anal. Appl. 7, 169181 (1973).
 Factors and representations of dynamical systems.
Uspekhi Mat. Nauk 28, No.2, 170 (1973) (in Russian).
 Representations of the group SL(2,R), where R is
a ring of functions (with I.M.Gel'fand and M.I.Graev).
Uspekhi Mat. Nauk 28, No.5(173), 83128 (1973). Another English
translation: Lect. Notes London Math. Soc. 69,
1560 (1982).
 Countable groups which are close to finite groups.
Addendum to the Russian translation of the book by F.Greenleaf
"Invariant means on topological groups". Mir, Moscow, 1973.
 A general duality theorem in linear programming
(with M.M.Rubinov).
In "Mathematical Economics and
Functional Analysis", 3555. Nauka, Moscow, 1974.
 Decreasing sequences of sigmaalgebras and ergodic theorems.
Teor. Veroyatn. i Primen. 19, No.3, 657658 (1974) (in Russian).
 Description of invariant measures for the actions of
some infinitedimensional groups.
Dokl. Akad. Nauk SSSR 218, No.4, 749752 (1974). English translation:
Sov. Math. Dokl. 15, 13961400 (1974).
 Irreducible representations of the group $G^X$ and
cohomology (with I.M. Gel'fand and M.I.Graev).
Funct. Anal. i
Prilozh.
8, No.2, 6769 (1974). Another English translation:
Lect. Notes
London Math. Soc. 69, 1560 (1982).
To the main menu
 On the reciprocal continuous extension of linear operations
(with G.P.Akilov).
Vestn. Leningr. Univ. 13, No.7,
2733 (1958) (in Russian).
 On the theory of normal dynamical systems.
Dokl. Akad. Nauk SSSR 144, 912 (1962). English translation:
Sov. Math. Dokl. 3, 625628 (1962).
 Spectral and metric isomorphism of some normal
dynamical systems.
Dokl. Akad. Nauk SSSR 144, No.2, 255257 (1962). English translation:
Sov. Math. Dokl. 3, 693696 (1962).
 Topological questions of the measure theory in
linear spaces (with V.N.Sudakov).
Uspekhi Mat. Nauk 17, No.4, 217219 (1962) (in Russian).
 General theory of Gaussian measures in linear spaces.
Uspekhi Mat. Nauk 19, No.1, 210212 (1964) (in Russian).
 Some characteristic properties of Gaussian stochastic
processes.
Teor. Veroyatn. i Primen. 9, No.2, 390394 (1964)
(in Russian).
 Measurable realization of continuous
automorphism groups of a unitary ring.
Izv. Akad. Nauk SSSR,
Ser. Mat. 29, 127136 (1965). English translation:
Amer. Math. Soc. Transl. Ser. 2 84, 6981 (1969).
 Duality in the theory of measure in linear spaces.
Dokl. Akad. Nauk SSSR 170,
497500 (1966). English translation:
Sov. Math. Dokl. 7, 12101214 (1967).
 A theorem on the lacunary isomorphism of monotonic
sequence of partitions.
Funkts. Anal. i Prilozh. 2,
No.3, 1721 (1968) (in Russian).
 The axiomatics of measure theory in linear spaces.
Dokl. Akad. Nauk
SSSR 178, 278281 (1968). English translation:
Sov. Math. Dokl. 9, 6872 (1968).
 Some questions concerning the approximation of the optimal value of
infinitedimensional problems in linear programming (with V.Temelt).
Sib. Mat. Zh.
9, 790803 (1968). English translation:
Siber. Math. J. 9, No.3, 591601 (1968).
 Probability measures in infinitedimensional
spaces (with V.N.Sudakov).
Zapiski Nauchn. Semin. LOMI 12, 767 (1969). English translation:
Seminars in Math., V.A.Steklov Math. Inst., Leningrad
12, 128 (1971).
 Dynamical systems with invariant measure
(with S.A.Yuzvinsky).
In "Itogi Nauki i Tehniki, Matem. Anal.",
133187. VINITI, Moscow, 1969. English translation:
Progress Math. 8, 151215 (1970).
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About Grisha Mints,
IfColog Journal of Logics and Their Applications
4, No. 42017, 841843.

Several words about Mikhail Iosifovich Gordin (in Russian).
Zapiski Nauchn. Semin. POMI 441, 911 (2015).

About A.N.Livshits (in Russian).
In: A.N.Livshits, Dynamical Systems, Ergodic Theory, Formal Languages (A.A.Lodkin, ed.). St.Petersburg, 2014.

Gromov's geometry.
In: The Abel Prize 20082012, H.Holden and R.Piene (eds.), Springer
(2014), pp.143148.

Long history of
the MongeKantorovich transportation problem.
Math. Intelligencer 35, No. 4 (2013).
 Several thoughts about Arnold.
In: Arnold: Swimming Against the Tide (B.A.Khesin and S.L.Tabachnikov, eds.). Amer. Math. Soc., 2014, pp. 187196.
The Russian version.

Gelfand, My Inspiration.
Notices AMS, 60, No. 1, 3238 (2013).

Leonid Vital'evich Kantorovich (on the 100th anniversary of his birth)
(with S.S.Kutateladze and S.P. Novikov).
Russian Math. Surveys 67, No. 3, 589 (2012).
Russian
preprint version.

A commentary (in Russian).
In: J.C.Maxwell, Works on Kinetic Theory. Binom, Moscow, 2011.

The work of Andrei Okounkov.
Notices of the AMS 54, no. 3, 391393, March 2007.

What is good for mathematics? Thoughts on
the Clay
Millenium Prizes.
Notices of the AMS 54, no. 1, 4547, January 2007.

The life and fate of functional analysis in the twentieth century.
In: Mathematical Events of the Twentieth Century, Phasis,
Moscow, 2003.
English translation: Springer, Berlin,
2006, pp. 437447.
 Alexandrov's inequality. Alexander Danilovich as I knew him (in Russian).
St.Petersburg University, No. 34 (2004), 3640.
Full version.

A look at the university in the light of mathematics.
St.Petersburg University, No. 34 (2004), 1418.

A talk at the session of the St.Petersburg Mathematical Society
dedicated to the memory of L.V.Kantorovich (in Russian).
In: "History of Computer Science in Russia".
Nauka, Moscow, 2003, pp. 5256.
 About
L.V.Kantorovich and linear programming.
In: "Leonid Vital'evich Kantorovich: a man and a scientist",
vol.1, 130152. Izd. SO RAN, Novosibirsk, 2002.
English translation (2007).
 Randomization of algebra and algebraization of probability.
An attempt of prediction.
In: "Mathematics Unlimited  2001 and Beyond"
(B.Engquist and W.Schmid, eds.), part II, 11571166.
Springer, BerlinHeidelbergNew York, 2001.
 Vladimir Abramovich Rokhlin [19191984].
Amer. Math. Soc. Transl. Ser. 2 202, 110 (2001).
 What will happen to our mathematics.
Notices
Amer. Math. Soc. 40, No.2, 129131 (1993).
 To guard the future of Soviet mathematics. (with
O.Ya.Viro and L.A.Bokut').
Math. Intell. 14, No.1, 1215 (1992).
 V.A.Rokhlin's work in ergodic theory.
Algebra i Analiz 2, No.2, 236241 (1990). English translation:
Leningrad Math. J. 2, No.2, 427431 (1991).
 On the Leningrad Mathematical Society.
Trudy Leningrad. Mat. Obshchestva 1, 48 (1991) (in Russian).
English translation:
Proc. of Leningrad Math. Soc. Amer. Math. Soc. Transl.
Ser. 2 155, IXXIII (1992). Another English translation:
Newsletter EMS, No.10, 2123 (1993).
 Vladimir Abramovich Rokhlin 19191984
(on the 70th anniversary of his birth).
Algebra i Analiz 2, No.2, 227235 (1990). English translation:
Leningrad Math. J. 2, No.2, 419426 (1991).
 Gleb Pavlovich Akilov.
Optimizatsiya 48(65), 4146 (1990) (in Russian).
 Student Mathematical competition in Leningrad State University
(with A.A.Lodkin).
In "Mathematics today", No.6, 126142.
Vyscha shkola, Kiev, 1990 (in Russian).
 50 years of linear programming
(with L.M.Bragman, A.B.Gribov, and I.V.Romanovskiy).
Ekonomika i mat. metody 26, No.2, 376378 (1990) (in Russian).
 Vladimir Abramovich Rokhlin  a biographical
tribute (23.8.19193.12.1984).
Ergodic Theory Dynam. Systems 9, No.4, 629641 (1989).
 John von Neumann (with A.N.Kolmogorov and Ya.G.Sinai).
In: John von Neumann, "Collected works", vol.1, 337351.
Nauka, Moscow, 1987.
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An interview for the magazine "Ogonyok"
(in Russian), 2017.
 An interview for the Russian political news
channel polit.ru:
Part I,
Part II
(in Russian), 2013.

Intellectual
delocalization in Russia.
Polit.ru, September 27, 2007.

Fifty years ago in March.
Zvezda, No.3 (2006).
 Science and totalitarism.
Zvezda, No.8 (1998) (in Russian).

Nature and Soviet Censorship.
London Math. Soc. Newsletter 218, p. 12, July 1994.
 Admission to the mathematics faculty in Russia in the
1970s and 1980s.
Math. Intell. 16, No.4, 45 (1994).
 Tartu Ulikoolist.
Vikerkaar, No.3, p.76 (1991).
 Potajnoj dajdzhest epokhi zastoya.
Zvezda, No.11, 179190 (1991) (in Russian).
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Yakov Grigorievich Sinai (on the occasion of his seventieth
birthday) (with D.V.Anosov, R.V.Plykin et al.).
Russian Math. Surveys 60 (2005), no. 5, 995998.

Gennadii Shlemovich Rubinstein (with V.A.Zalgaller, S.S.Kutateladze et
al.).
Russian Math. Surveys 60 (2005), no. 2, 337339.

Olga Aleksandrovna Ladyzhenskaya (with V.I.Arnold, M.Sh.Birman et al.).
Russian Math. Surveys 59 (2004), no. 3, 553555.

Garald Isidorovich Natanson (with V.M.Babich, V.S.Videnskii et al.).
Russian Math. Surveys 59
(2004), no. 4, 771776.

Vasilii Mikhailovich Babich (on the occasion of his seventieth
birthday) (with V.S.Buldyrev, I.A.Ibragimov, et al.).
Russian Math. Surveys 57 (2002), no. 3, 627635.
 Anatoly Mikhailovich Stepin (on the occasion of his sixtieth birthday)
(with D.V.Anosov, A.A.Bolibrukh, et al.).
Russian Math. Surveys 56 (2001), no. 1, 201205.
 Robert Adol'fovich Minlos (on the occasion of his seventieth birthday)
(with N.D.Vvedenskaya, E.A.Zhizhina, et al.).
Russian Math. Surveys 56 (2001), no. 4, 789792.

Viktor Abramovich
Zalgaller (on the occasion of his eightieth birthday)
(with Yu.D.Burago, I.A.Ibragimov, et al.).
Zapiski Nauchn. Semin. POMI 280 (2001), 713.
English
translation: J. Math. Sci. 119 (2004), no.
2, 129132.
 Vladimir Andreevich Yakubovich (on the occasion of his 75th birthday)
(with V.I.Derguzov, I.A.Ibragimov, O.A.Ladyzhenskaya, G.A.Leonov).
Algebra i Analiz 13 (2001), no. 4, 254256. English
translation:
St. Petersburg Math. J. 13 (2002), no. 4, 703704.

Sergei Vassilievich Kerov (12.06.194628.07.2000) (in Russian).
Zapiski Nauchn. Semin. POMI 283, 713 (2001). English
translation: J. Math. Sci. 121, no. 3, 22952299 (2004).
 Mikhail Shlemovich Birman (on the occasion of his seventieth birthday)
(with V.S.Buslaev, I.M.Gelfand et al.).
Uspekhi Mat. Nauk 55,
No.1(331), 204207 (2000). English translation:
Russian Math. Surveys 55, No.1, 201205 (2000).
 To the memory of M.V.Saveliev.
In: "Symmetries and integrable systems", 290292.
Dubna, 1999.
 Yakov Grigorievich Sinai (on the occasion of his sixtieth birthday)
(with S.P.Novikov, L.A.Bunimovich, B.M.Gurevich, E.I.Dinaburg,
G.A.Margulis, V.I.Oseledets, S.A.Pirogov, K.M.Khanin, N.N.Chentsova).
Uspekhi Mat. Nauk 51, No.4(310), 179191 (1996). English translation:
Russian Math. Surveys 51, No.4, 765778 (1996).
 Vladimir Andreevich Yakubovich (on the occasion of his seventieth birthday
(with O.A.Ladyzhenskaya, G.A.Leonov, V.N.Fomin).
Uspekhi Mat. Nauk 51, No.6, 231232 (1996). English translation:
Russian Math. Surveys 51, No.6, 12371240 (1996).
 Alik Berezin in the recollections of friends (with
V.P.Maslov, M.A.Shubin, N.D.Vvedenskaya).
Amer. Math. Soc. Transl. Ser. 2 175, 225236 (1996).
 Dmitrij Andreevich Gudkov (obituary) (with
V.I.Arnold, O.Ya.Viro, A.B.Korchagin, E.A.LeontovichAndronova,
S.P.Novikov, O.A.Oleinik, G.M.Polotovskij, G.A.Utkin, E.I.Shustin).
Uspekhi Mat. Nauk 47, No.6, 195198 (1992). English translation:
Russian Math. Surveys 47, No.6, 193197 (1992).
 Gleb Pavlovich Akilov (with
A.D.Aleksandrov, V.V.Ivanov, A.G. Kusraev, S.S.Kutateladze,
B.M.Makarov, Yu.G.Reshetnyak, V.P.Khavin).
Uspekhi Mat. Nauk 43, No.1(259), 181182 (1988). English translation:
Russian Math. Surveys 43, No.1, 221223 (1988).
 Vladimir Andreevich Yakubovich
(on the occasion of his sixtieth birthday) (with
S.M.Ermakov, O.A.Ladyzhenskaya, V.N.Fomin).
Uspekhi Mat. Nauk 42, No.4(256), 219220 (1987) (in Russian).
 Vladimir Abramovich Rohklin. An Obituary.
(with V.I.Arnold, O.Ya.Viro, A.N.Kolmogorov, S.P.Novikov,
Ya.G.Sinai, D.B.Fuks).
Uspekhi Mat. Nauk. 41, No.3(249), 159163 (1986).
 Sergei Mikhailovich Lozinskii (with
S.M.Ermakov, O.A.Ladyzhenskaya, I.P.Mysovskikh, V.A.Pliss,
Kh.L.Smolitskii, D.K.Faddeev).
Uspekhi Mat. Nauk 41, No.5(251), 153154 (1986) (in Russian).
 Gleb Pavlovich Akilov (on the occasion of his fiftieth birthday)
(with D.A. Vladimirov, B.Z.Vulikh, L.V.Kantorovich, B.M.Makarov,
A.M.Rubinov, G.S.Rubinshtein, V.N.Sudakov, V.P.Havin).
Optim. Planirov. 17, 79 (1970) (in Russian).
 Commentaries to the papers by John von Neumann.
In:
John von Neumann, "Collected works",
vol.1, 362369, 372375; vol.2, 338348, 360365.
Nauka, Moscow, 1987.
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Zapiski Nauchn. Semin. POMI, Series "Representation theory, Dynamical
Systems,
Combinatorial and Algorithmic Methods" (22 volumes).
 Mathematics of the XXth
Century: a View from St.Petersburg.
MCCME, Moscow, 2010.
 Asymptotic Combinatorics with Application to
Mathematical physics (ed.).
Lecture Notes in Math. 1815.
Springer, 2003.

A.A.Markov. Selected works. Vol. 1. Mathematics, Mechanics, Physics.
Izdvo MTsNMO, Moscow, 2002 (in Russian). Comments to 1) the papers on the
theory of dynamical systems, p.462463; 2) "On finitedimensional vector
spaces", p.463; 3) "On the free equivalence of closed braids", "Foundations of
the algebraic theory of braids", p.468469.
 "Summa" for free thought (ed.).
Izdat. zhurnala "Zvezda", St.Petersburg, 2002.
 Asymptotic Combinatorics with Application to
Mathematical physics (coed. with V.Malyshev).
Kluwer Academic Publ., 2002.
 Topology, ergodic theory, real algebraic geometry. Rokhlin's memorial
(coed. with V.Turaev).
AMS Translations, Series 2, 202.
American Mathematical Society, Providence, RI, 2002.
 V.A.Rokhlin. Collected works (ed.).
Moscow, 1999 (in Russian).

Dynamical systems, ergodic theory and applications (coed.).
Encyclopaedia of Mathematical Sciences, 100. Mathematical Physics, I.
SpringerVerlag, Berlin, 2000.
 P.Sarnak. Modular forms and their applications
(transl. ed., preface).
Fasis, Moscow, 1998.
 Topics in Statistical and Theoretical Physics (coed.).
F.A.Berezin Memorial Volumes, vol.2.
Amer. Math. Soc. Transl. 177 (1996).
 Topics in Statistical and Theoretical Physics (coed.).
F.A.Berezin Memorial Volumes, vol.1.
Amer. Math. Soc. Transl. 175 (1996).
 Proc. St.Petersburg Math. Soc. Vol.II (coed. with
O.A.Ladyzhenskaya).
Amer. Math. Soc. Transl. Ser. 2 159 (1994).
 Proc. St.Petersburg Math. Soc. Vol.I (coed.
with O.A.Ladyzhenskaya).
Amer. Math. Soc. Transl. Ser. 2 155 (1993).
 Dynamical systems and representation theory (ed.).
Adv. Sov. Math. 9, 1992.
 R.Stanley. Enumerative combinatorics
(transl. ed., preface).
Mir, Moscow, 1990.
 E.Polishchuk. Continual means and
boundary value problems in function spaces (preface).
Math. Research 44, 56.
Acad. Verlag, Berlin.
 Representation of Lie groups and related topics (coed.
with D.P.Zhelobenko).
Adv. Stud. Contemp. Math. 7.
Gordon and Breach Science Publishers, New York, 1990.
 N.Martin, J.England.
Mathematical theory of entropy (transl. ed., preface).
Mir, Moscow, 1988.
 G.James. Representation theory of symmetric groups
(transl.ed., preface, addendum).
Mir, Moscow, 1982.
 Mathematics for engineers. Recommended literature (ed.).
"Kniga", Moscow, 1965.
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