On Mealy–Moore coding and images of Markov measures

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2021-02-10 DOI:10.1090/mosc/314

R. Grigorchuk, R. Kogan, Yaroslav Vorobets

引用次数: 1

Abstract

We study the images of the Markov measures under transformations generated by the Mealy automata. We find conditions under which the image measure is absolutely continuous or singular relative to the Markov measure. Also, we determine statistical properties of the image of a generic sequence.

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关于Mealy–Moore编码和Markov测度的图像

我们研究了由Mealy自动机生成的变换下的马尔可夫测度的图像。我们找到了图像测度相对于马尔可夫测度是绝对连续或奇异的条件。此外，我们确定了一般序列的图像的统计特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

自引率

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发文量

期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.