动态系统参数族局部熵的锐贝雷分类

IF 0.2 Q4 MATHEMATICS Moscow University Mathematics Bulletin Pub Date : 2024-03-24 DOI:10.3103/s0027132223060086

A. N. Vetokhin

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引用次数: 0

摘要

摘要我们考虑了定义在局部紧凑度量空间上并连续依赖于某个度量空间参数的动力系统参数族。对于任何这样的族，都可以从函数的 Baire 分类的角度，将其中包含的动力系统的局部熵作为参数的函数来研究。

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Sharp Baire Classification of Local Entropy of Parametric Families of Dynamical Systems

Abstract

We consider a parametric family of dynamical systems defined on a locally compact metric space and continuously dependent on a parameter from some metric space. For any such family, the local entropy of the dynamical systems included in it is studied as a function of a parameter from the point of view of the Baire classification of functions.

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来源期刊

Moscow University Mathematics Bulletin MATHEMATICS-

CiteScore

0.60

自引率

25.00%

发文量

期刊介绍： Moscow University Mathematics Bulletin is the journal of scientific publications reflecting the most important areas of mathematical studies at Lomonosov Moscow State University. The journal covers research in theory of functions, functional analysis, algebra, geometry, topology, ordinary and partial differential equations, probability theory, stochastic processes, mathematical statistics, optimal control, number theory, mathematical logic, theory of algorithms, discrete mathematics and computational mathematics.