最大熵的测量不具有吉布斯性质的遗传子移

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2021-01-01 DOI:10.4064/CM8223-11-2020

J. Kułaga-Przymus, Michał Lemańczyk

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引用次数: 7

摘要

．我们证明了当且仅当子位移的米尔斯基测度是纯原子时，无B子位移的遗传闭包的最大熵测度具有吉布斯性质。这回答了Peckner提出的一个开放性问题。此外，当相应的米尔斯基测量ν η有充分支持时，我们表明B是紧绷的。这与凯勒最近的研究结果相反。

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Hereditary subshifts whose measure of maximal entropy does not have the Gibbs property

. We show that the measure of maximal entropy for the hereditary closure of a B -free subshift has the Gibbs property if and only if the Mirsky measure of the subshift is purely atomic. This answers an open question asked by Peckner. Moreover, we show that B is taut whenever the corresponding Mirsky measure ν η has full support. This is the converse to a recent result of Keller.

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.