Most recent papers
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, 165-173 (2013).
Long history of
the Monge-Kantorovich transportation problem.
Math. Intelligencer 35, No. 4 (2013).
Special representations of nilpotent Lie groups and the associated
Poisson representations of current groups
Moscow Math. J. 13, No. 2, 345-360 (2013).
New developments in the theory of metric spaces
In: Proceedings of the Globus Seminar, Vol. 6, MCCME, Moscow (2013),
Several thoughts on Arnold (in Russian).
Smooth and non-smooth AF-algebras and a problem on invariant measures.
To appear in Proceedings of the St. Petersburg School in Probability and
Statistical Physics (June 2012).
ways to define compatible metrics on the simplex of measures.
Zapiski Nauchn. Semin. POMI 411, 38-48 (2013).
- An interview for the Russian political news
Part I, Part II (in Russian).
"very large" and "infinite": the asymptotic representation theory.
Probability and Mathematical Statistics, 33, Fasc. 2,
Geometry and dynamics of admissible metrics in measure spaces
F.Petrov and P.Zatitskiy).
Central Europ. J. Math. 11, No. 3, 379-400 (2013).
Gelfand, My Inspiration.
Notices AMS, 60, No. 1, 32-38 (2013).
Nonsingular transformations of the symmetric Levy processes
Zapiski Nauchn. Semin. POMI 408, 102-114 (2012). English version
to appear in J. Math. Sci.
On classification of measurable functions of several variables,
Zapiski Nauchn. Semin. POMI 403, 35-57 (2012). English version
to appear in J. Math. Sci.190, No. 3 (2013).
Finite traces and representations of the group of infinite matrices
over a finite field
(with V.Gorin and S.Kerov).
Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator
PDMI preprint 16/2012 (2012). To appear in Comm. Math. Phys.
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).
Representation of the infinite-dimensional groups of rank one
Moscow Math. J. 12, No. 3, 117-129 (2012).
C^*-algebras associated with endomorphisms and polymorphisms of compact
Comm. Math. Phys. 321, No. 1, 157-179 (2013).
Special representations of the groups
U(∞,1) and O(∞,1) and
related representations of the current groups U(∞,1)X and
in a quasi-Poisson space
Funct. Anal. Appl. 46, No. 1, 1-10 (2012).
Stable states and representations of the infinite symmetric group (with
Dokl. Math. 86, No. 1, 450-453 (2012).
Totally nonfree actions and the infinite
Moscow Math. J. 12, No. 1, 193-212 (2012).
The Pascal automorphism has a continuous
Funct. Anal. Appl. 45, No. 3, 173-186 (2011).
Description of characters and factor representations of the infinite
symmetric inverse semigroup
Funct. Anal. Appl. 45, No. 1, 13-24 (2011).
Poisson model of the Fock space and representations of groups of
currents (with M.I.Graev).
Algebra i Analiz 23, No. 3, 63-136 (2011).
Scaling entropy and automorphisms with purely point
Algebra i Analiz 23, No. 1, 111-135 (2011).
actions of countable groups and their characters.
Zapiski Nauchn. Semin. POMI 378, 5-16 (2010).
English translation: J. Math. Sci.
174, No. 1, 1-6 (2011).