Several Remarks on Pascal Automorphism and Infinite Ergodic Theory

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...

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Bibliographic Details
Main Author: Anatoly Vershik
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2015-12-01
Series:Armenian Journal of Mathematics
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/114