11 citations · 19 across the 7 of their papers we have counts for
7 papers
Towards the definition of metric hyperbolicity
A. Vershik
We introduce measure-theoretic definitions of {\it hyperbolic structure for measure-preserving automorphisms}. A wide class of -automorphisms possesses a hyperbolic structure; w…
A New Approach to the Representation Thoery of the Symmetric Groups. 2
A. M. Vershik, A. Yu. Okounkov
The new approach to the theory of complex representrations of the finite symmetric groups which based on the notions of Coxeter generators., Gelfand-Zetlin algebras, Hecke algebra,…
The Basic Representation of the Current Group O(n,1)^X in the L^2 space over the generalized Lebesgue Measure
A. M. Vershik, M. I. Graev
We give the realization of the representation of the current group O(n,1)^X where X is a manifold, in the Hilbert space of L^2(F,ν) of functionals on the the space F of the general…
Kantorovich metric:initial history and little-known applications
A. Vershik
The short history of L.Kantorovich's transport problem and his metric in the framework of his activity in mathmatics and economics during a long and difficult period. We did not me…
Polymorphisms, Markov processes, random perturbations of K-automorphisms
A. Vershik
In this paper we develop the theory of {\it polymorphisms} of measure spaces, which is a generalization of the theory of measure-preserving transformations; we describe the main no…
Some isometry groups of Urysohn space
P. J. Cameron, A. M. Vershik
We constract various subgroups of the group of isometries of universal Urysohn spaces (unique complete separable metric space which is iniversal and homogeneous) including abelian…