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Research papers
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.
[Full text: .pdf]
Spectral properties of the periodic Coxeter Laplacian
in the two-row ferromagnetic case.
Zapiski Nauchn. Semin. POMI, 378 (2010), 111-132.
[ abstract ]
[ Full text: .pdf]
Induced representations of the
infinite symmetric group (with
A.M.Vershik).
Pure Appl. Math. Quart., 3, No. 4 (2007), 1005-1026.
[ abstract ]
[ Full text: .pdf
(278 Kb) ]
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.
[ abstract ]
[ Full text in Russian: .pdf
(84 Kb) ] [ Full text in English: .pdf
(186 Kb) ]
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.
[ abstract ]
[ Full text in English: .ps.gz
(173 Kb) ]
On different models of representations of the infinite
symmetric group
(with
A.M.Vershik).
Adv. Appl. Math., 37, 526-540 (2006).
[ abstract ]
[ Full text: .pdf
(282 Kb) ]
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.
[ abstract ]
[ Full text in English: .pdf
(201 Kb) ]
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.
[abstract ]
[ Full text in English:
.pdf (620Kb) ]
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.
[abstract ]
[ Full text in English:
.pdf (365Kb) ]
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.
[ abstract ] [ Full text in Russian:
.ps.gz
] [ Full text in English: .pdf (160Kb) ]
On the simplest split-merge operator on the infinite-dimensional
simplex
PDMI preprint 03/2001, Steklov Institute of Mathematics at
St.Petersburg, 2001.
[ abstract ]
[ Full text: .ps.gz
(81 Kb) ]
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.
[ abstract ]
[ Full text: .ps.gz
(104 Kb) ]
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.
[ abstract ] [ Full text: .ps.gz
(70 Kb) ]
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.
[ abstract ] [ Full text :
.ps.gz
(196 Kb) ]
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.
[ abstract]
[ Full text in Russian:
.ps.gz
(75 Kb)] [ Full text in English: .pdf (250 Kb)]
Distribution of mean values for some random measures
Zapiski Nauchn. Semin. POMI, 240 (1997), 268-279.
English translation: J. Math. Sci. (N.Y.), 96,
No. 5 (1999), 3616-3623.
[ abstract ] [ Full text in Russian:
.ps.gz
(77 Kb) ] [ Full text in English: .pdf
(522 Kb) ]
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.
[ abstract ]
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.
[ abstract ]
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