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1995, Volume 223  

| General information | Contents | Forward links |


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


Editor's preface
7–8

Representation theory
Boundary values of holomorphic functions, singular unitary representations of $O(p,q)$, and their limits as $q\to\infty$
Yu. A. Neretin, G. I. Ol'shanski
9–91
Tame representations of the Hecke algebra $H(\infty)$ and the $q$-analogs of partial bijections
A. Okun'kov
92–107
Transitive groups with irreducible representations of bounded degree
S. A. Evdokimov, I. N. Ponomarenko
108–119

Dynamical systems
The adic realizations of the ergodic actions with the homeomorphisms of the Markov compact and the ordered Bratteli diagrams
A. M. Vershik
120–126
On some properties of the decoding of admissible words for primitive substitutions
A. N. Livshits
127–136
On construction of a symbolic realization of hyperbolic automorphisms of the torus
E. A. Hirsch
137–139
Some remarks on homoclinic groups of hyperbolic toral automorphisms
M. I. Gordin
140–147

Combinatorial and algorithmic methods
Distribution of cycle lengths of infinite permutations
N. V. Tsilevich
148–161
Stick breaking process generated by virtual permutations with Ewens distribution
S. V. Kerov, N. V. Tsilevich
162–180
Subordinators and the actions of permutations with quasi-invariant measure
S. V. Kerov
181–218
On the number of rim hook tableaux
S. V. Fomin, Nathan Lulov
219–226
Asymptotics of random partitions of a set
Yu. V. Yakubovich
227–250
On Kauffman invariants for 6-valent graphs
A. M. Nikitin
251–262
Asymptotics of random convex polygonal lines
B. N. Vilkov
263–279
The lattices of ideals of multizigzags and the enumeration of Fibonacci partitions
I. A. Pushkarev
280–312
Laws of large numbers and the central limit theorem for sequences of coefficients of rotational expansions
N. A. Sidorov
313–322
Singularity and absolute continuity of measures associated with the rotation of a circle
N. A. Sidorov
323–336
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