# Several Remarks on Pascal Automorphism and Infinite Ergodic Theory

Vershik, Anatoly (2015) Several Remarks on Pascal Automorphism and Infinite Ergodic Theory. Armenian Journal of Mathematics, 7 (2). pp. 85-96. ISSN 1829-1163

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## 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.

Item Type: Article 28-xx Measure and integration37-xx Dynamical systems and ergodic theory 685 Professor Anry Nersesyan 10 Dec 2015 23:06 14 Dec 2015 17:13

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