Measures and entropy on non compact dynamics

Massoud Amini

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Measures and entropy on non compact dynamics

机译：非紧致动力学的测度和熵

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摘要

We extend the reduction method of JuzvinskiT to non compact dynamics. We show that the method could be used to prove results on entropies of transformations on non compact metric or Polish spaces. This is illustrated in three situations. First we extend the results of P. Walters on transformations with complete positive entropy. Then we extend the Abramov-Rohlin addition formula of R. K. Thomas. Finally we use the addition formula to extend the results of Walters on the uniqueness of invariant measures with maximal entropy.

机译：我们将JuzvinskiT的归约方法扩展到非紧致动力学。我们证明了该方法可用于证明非紧度量或波兰空间上的转换熵的结果。这在三种情况下说明。首先，我们用完全正熵扩展P. Walters的变换结果。然后，我们扩展了R. K. Thomas的Abramov-Rohlin加法公式。最后，我们使用加法公式来扩展Walters关于具有最大熵的不变测度的唯一性的结果。

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来源
《Dynamical Systems》 |2020年第1期|81-110|共30页
作者
Massoud Amini;
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作者单位

epartment of Mathematics Faculty of Mathematical Sciences Tarbiat Modares University Tehran Iran School of Mathematics Institute for Research in Fundamental Sciences (IPM) Tehran Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种 eng
中图分类
关键词
Infinite invariant measure; parry entropy; parry-Pinsker factor; abramov-Rohlin addition formula; JuzvinskiT reduction method;

机译：无限不变的度量;招架熵帕里-平克因子阿布拉莫夫-罗林加法公式;JuzvinskiT归约法;

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Measures and entropy on non compact dynamics

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