Time, space and equilibrium means of continuous vector functions on the phase space of a dynamical system

被引：0

作者：

Gurevich, B. M. ^{[1
]}

Tempelman, A. A. ^{[2
,3
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow, Russia

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[3] Penn State Univ, Dept Stat, University Pk, PA 16802 USA

来源：

SBORNIK MATHEMATICS | 2010年 / 201卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

dynamical system; space mean; equilibrium mean; time mean; pressure; SETS; DIMENSION; ENTROPY;

D O I：

10.1070/SM2010v201n03ABEH004075

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a dynamical system T with 'time' Z(d) and compact phase space X, we introduce three subsets of the space R(m) related to a continuous function f: X -> R(m): the set of time means of f and two sets of space means of f, namely those corresponding to all tau-invariant probability measures and those corresponding to some equilibrium measures on X. The main results concern topological properties of these sets of means and their mutual position.

引用

页码：339 / 354

页数：16

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