Several Remarks on Pascal Automorphism and Infinite Ergodic Theory

Authors

  • Anatoly Vershik St. Petersburg Department of Stekloff Mathematical Institute, Russian Academy of Sciences 27, Fontanka, 191023 St.Petersburg, Russia

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.

 

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Published

2015-12-10

How to Cite

Vershik, A. (2015). Several Remarks on Pascal Automorphism and Infinite Ergodic Theory. Armenian Journal of Mathematics, 7(2), 85-96. Retrieved from http://armjmath.sci.am/index.php/ajm/article/view/114