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math.DS2019
The problem of combinatorial encoding of a continuous dynamics and the notion of transfer of paths in graphs
Anatoly Vershik
We introduce the notion of combinatorial encoding of continuous dynamical systems and suggest the first examples, which are the most interesting and important, namely, the combinat…
math.DS2017★ 10 cited
The theory of filtrations of subalgebras, standardness and independence
Anatoly Vershik
The survey is devoted to the combinatorial and metric theory of filtrations, i.\,e., decreasing sequences of -algebras in measure spaces or decreasing sequences of subalgebras o…
math.DS2007
Algebraic Polymorphisms
Klaus Schmidt, Anatoly Vershik
In this paper we consider a special class of polymorphisms with invariant measure, - (cf.[1])- the algebraic polymorphisms of compact groups. A general polymorphism is -- by defini…