Ergodicity and totality of partitions associated with the RSK correspondence (with
A.M.Vershik).
PDMI Preprints 09/2020 (2020), Steklov Institute of Mathematics at
St.Petersburg.
To appear in Funct. Anal. Appl.
The intrinsic hyperplane arrangement in an arbitrary
irreducible representation of the symmetric group (with
A.M.Vershik and S.Yuzvinsky).
Arnold Mathematical Journal, 6 (2020), 173-187.
Groups generated by involutions of diamond-shaped graphs,
and deformations of Young's orthogonal form (with
A.M.Vershik).
Zapiski Nauchn. Semin. POMI, 481 (2019), 29-38.
English translation: J. Math. Sci. (N.Y.) 247
(2020), 657-662.
On the decomposition of tensor representations of symmetric groups (with P.P.Nikitin and
A.M.Vershik).
Algebras and Representation Theory 22, No. 4, 895-908 (2019).
On the dual complexity and spectra of some combinatorial functions.
Zapiski Nauchn. Semin. POMI, 462 (2017), 112-121.
English translation: J. Math. Sci. (N.Y.) 232, No. 2
(2018), 170-176.
On the relation of some combinatorial functions to representation theory (with
A.M.Vershik).
Funktsional. Anal. i Prilozhen. 51, No. 1, 28-39 (2017).
English translation: Funct. Anal. Appl. 51, No. 1, 22-31 (2017).
The serpentine representation of the
infinite symmetric group and the basic
representation of the affine Lie algebra $\widehat{sl}_2$ (with
A.M.Vershik).
Lett. Math. Phys. 105, No. 1, 11-25 (2015).
Infinite-dimensional Schur-Weyl duality and
the Coxeter-Laplace operator (with
A.M.Vershik).
Comm. Math. Phys. 327, No. 3, 873-885 (2014).
On the behavior of the periodic Coxeter
Laplacian in some representations related to the antiferromagnetic
asymptotic mode and continual limits.
Zapiski Nauchn. Semin. POMI 390 (2011), 286-298.
English translation: J. Math. Sci. (N.Y.) 181
(2012), 914-920.
Spectral properties of the periodic Coxeter Laplacian
in the two-row ferromagnetic case.
Zapiski Nauchn. Semin. POMI 378 (2010), 111-132.
English translation: J. Math. Sci. (N.Y.) 174
(2011), 58-70.
Induced representations of the
infinite symmetric group (with A.M.Vershik).
Pure Appl. Math. Quart. 3, No. 4 (2007), 1005-1026.
Induced representations of the
infinite symmetric group and their spectral theory (with
A.M.Vershik).
Dokl. Akad. Nauk 412, No. 1 (2007), 7-10.
English translation: Doklady Mathematics 75, No. 1 (2007), 1-4.
Markov measures on Young tableaux and induced
representations of the
infinite symmetric group (with A.M.Vershik).
Teor. Veroyatn. Primen. 51, No. 1 (2006), 47-63.
English translation:
Prob. Theory Appl. 51, No. 1 (2006), 211-223.
On different models of representations of the infinite
symmetric group
(with A.M.Vershik).
Adv. Appl. Math. 37, 526-540 (2006).
Quantum inverse scattering method for the q-boson
model and symmetric functions.
Funktsional. Anal. i Prilozhen. 40, No. 3 (2006), 53-65.
English translation: Funct. Anal. Appl. 40, No. 3 (2006), 207-217.
On the Fourier transform on the infinite symmetric group
(with A.M.Vershik).
Zapiski Nauchn. Semin. POMI 325 (2005), 61-82.
English translation: J. Math. Sci. (N.Y.) 138,
No. 3 (2006), 5663-5673.
Fock factorizations, and decompositions of the L^{2} spaces over general
Levy processes
(with A.M.Vershik).
Uspekhi Mat. Nauk 58, No. 3 (2003), 3-50.
English translation: Russian Math. Surveys 58, No. 3 (2003),
427-472.
Remarks on the Markov-Krein
identity and quasi-invariance of the gamma process
(with A.M.Vershik
and M.Yor).
Zapiski Nauchn. Semin. POMI 283 (2001), 21-36.
English translation: J. Math. Sci. (N.Y.) 121,
No. 3 (2004), 2303-2310.
On the simplest split-merge operator on the infinite-dimensional
simplex.
PDMI preprint 03/2001, Steklov Institute of Mathematics at
St.Petersburg, 2001.
An infinite-dimensional analogue of the Lebesgue measure
and distinguished properties of the gamma process (with
A.M.Vershik
and M.Yor).
J. Funct. Anal. 185, No. 1 (2001), 274-296.
Quasi-invariance of the gamma process and multiplicative properties
of the Poisson-Dirichlet measures (with
A.M.Vershik).
C. R. Acad. Sci. Paris 329, Serie I (1999), 163-168.
Stationary random partitions of positive integers.
Teor. Veroyatnost. i Primenen., 44, No. 1 (1999), 55-73.
English translation: Prob. Theory Appl. 44, No. 1 (2000),
60-74.
The Markov-Krein correspondence in several dimensions
(with S.V.Kerov).
Zapiski Nauchn. Semin. POMI 283 (2001), 98-122.
(PDMI preprint 1/1998, Steklov Institute of Mathematics of St.Petersburg,
1998.)
English translation: J. Math. Sci. (N.Y.) 121, No. 3 (2004), 2345-2359.
Distribution of the mean value for certain random measures.
Zapiski Nauchn. Semin. POMI 240 (1997), 268-279.
English translation: J. Math. Sci. (N.Y.) 96,
No. 5 (1999), 3616-3623.
Stick breaking process generates virtual permutations with Ewens distribution
(with S.V.Kerov).
Zapiski Nauchn. Semin. POMI 223 (1995), 162-180.
English translation: J. Math. Sci. (N.Y.) 87, No.
6 (1997), 4082-4093.
Distribution of cycle lengths of infinite
permutations.
Zapiski Nauchn. Semin. POMI 232 (1995), 148-161.
English translation: J. Math. Sci. (N.Y.) 87, No.
6 (1997), 4072-4081.