Several remarks on Pascal automorphism and infinite ergodic theory

Anatoly Vershik

Several remarks on Pascal automorphism and infinite ergodic theory

Dynamical Systems 2015-12-14 v1

Authors: Anatoly Vershik

Abstract

We interpret the Pascal-adic transformation as a generalized induced automorphism (over odometer) and formulate the $\sigma$ -finite analog of odometer which is also known as "Hajian-Kakutani transformation" (former "Ohio state example"). We shortly suggest a sketch of the theory of random walks on the groups on the base of $\sigma$ -finite ergodic theory.

Keywords

ergodic theory

Cite

@article{arxiv.1512.03721,
  title  = {Several remarks on Pascal automorphism and infinite ergodic theory},
  author = {Anatoly Vershik},
  journal= {arXiv preprint arXiv:1512.03721},
  year   = {2015}
}

Comments

14 pp,Ref.16

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