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Research papers
The Schur-Weyl graph and Thoma's theorem (with
A.M.Vershik).
Funktsional. Anal. i Prilozhen. 55, No. 3, 26-41 (2021).
English translation: Funct. Anal. Appl. 55, No. 3, 198-209 (2021).
Ergodicity and totality of partitions associated with the RSK correspondence (with
A.M.Vershik).
Funktsional. Anal. i Prilozhen. 55, No. 1, 33-42 (2021).
English translation: Funct. Anal. Appl. 55, No. 1, 26-33 (2021).
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 L2 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.
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