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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

Several Remarks on Pascal Automorphismand Infinite Ergodic Theory

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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