虚拟扩展动力学

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2023-01-01 DOI:10.2206/kyushujm.77.291

Masato TSUJII

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引用次数: 1

摘要

我们引入一类离散动力系统，我们称之为虚膨胀。这是闭流形上自覆盖映射的一个开放子集，它包含所有的扩张映射和部分双曲体扩张映射。证明了这类动力系统的Perron-Frobenius算子在正阶Sobolev空间上是拟紧的。

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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VIRTUALLY EXPANDING DYNAMICS

We introduce a class of discrete dynamical systems that we call virtually expanding. This is an open subset of self-covering maps on a closed manifold which contains all expanding maps and some partially hyperbolic volume-expanding maps. We show that the Perron-Frobenius operator is quasi-compact on a Sobolev space of positive order for such a class of dynamical systems.

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.