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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1997, Volume 240

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Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II


The homology of infinite-dimensional Lie algebras in connection with Macdonald identity
Yu. M. Bazlov
5
Law of large numbers and central limit theorem for Jordan normal form of large triangular matrices over a finite field
A. M. Borodin
18
Multiplicative central measures on Schur graph
A. M. Borodin
44
$C$-algebras and algebras in Plancherel duality
A. M. Vershik, S. A. Evdokimov, I. N. Ponomarenko
53
Macdonald identities and multidimensional theta-functions
M. A. Vsemirnov
67
Asymptotically Gaussian distribution for random perturbations of rotations of the circle
M. I. Gordin, M. Denker
78
Two inequalities for parameters of a cellular algebra
S. A. Evdokimov, I. N. Ponomarenko
82
Bi-spherical functions on the symmetric group associated to hyperoctahedral subgroup
V. N. Ivanov
96
Dimensions of skew shifted Young diagrams and projective characters of the infinite symmetric group
V. N. Ivanov
115
Rooks on Ferrers boards and matrix integrals
S. V. Kerov
136
Some applications of computer to investigation of substitutional dynamical systems
A. N. Livshits
147
An estimate from above of spectral radii of random walks on surface groups
T. V. Nagnibeda
154
On representations of the infinite symmetric group
A. Yu. Okounkov
166
On the representation theory of wreath products of finite group and symmetric group
I. A. Pushkarev
229
Multiplicative distributions on Young graph
N. A. Rozhkovskaya
245
Sum-of-digits function for certain non-stationary bases
N. A. Sidorov
257
Distributions of the mean values for some random measures
N. V. Tsilevich
268
Symmetric multiplicative statistics
Yu. V. Yakubovich
280


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