Armenian Journal of Mathematics, 7(2)
2015; 85–96
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Several Remarks on Pascal Automorphismand Infinite Ergodic Theory

Anatoly Vershik*

Received: 2024-12-18 · Published: 2015-12-10

© 2015 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Originally published in Armenian Journal of Mathematics, 7(2), 2015.

Original title
Several Remarks on Pascal Automorphismand Infinite Ergodic Theory
Author
Anatoly Vershik
Source journal
Armenian Journal of Mathematics, 7(2)
Published
2015-12-10
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/114

Abstract

We interpret the Pascal-adic transformation asa generalized induced automorphism (over odometer) and for-mulate theσ-finite analog of odometer which is also known as”Hajian-Kakutani transformation” (former ”Ohio state exam-ple”). We shortly suggest a sketch of the theory of random walkson the groups on the base ofσ-finite ergodic theory.
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