Several Remarks on Pascal Automorphism and Infinite Ergodic Theory - Armenian Journal of Mathematics

Vershik Anatoly

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Several Remarks on Pascal Automorphism and Infinite Ergodic Theory - Armenian Journal of Mathematics

机译：关于Pascal自同构和无限遍历理论的几点评论-亚美尼亚数学杂志

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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.

机译：我们将Pascal-adic变换解释为广义诱导的自同构（在里程表上），并制定里程表的$ sigma $有限类似物，也称为“ Hajian-Kakutani变换”（前身为“俄亥俄州实例”）。我们不久将基于$ sigma $有限遍历理论，建议在组上随机游走的理论草图。

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《Armenian journal of mathematics》 |2015年第2期|共页
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Vershik Anatoly;
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中图分类数学;
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Several Remarks on Pascal Automorphism and Infinite Ergodic Theory - Armenian Journal of Mathematics

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