A panorama of specification-like properties and their consequences

被引：61
作者：
Kwietniak, Dominik [1 ]
Lacka, Martha [1 ]
Oprocha, Piotr [2 ]
机构：
[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland
来源：
DYNAMICS AND NUMBERS | 2016年 / 669卷
关键词：
Specification property; almost specification property; weak specification property; approximate product property; topological mixing; shadowing; entropy; shift space; Poulsen simplex; AVERAGE SHADOWING PROPERTY; PIECEWISE MONOTONIC TRANSFORMATIONS; AXIOM-A-DIFFEOMORPHISMS; INVARIANT-MEASURES; DYNAMICAL-SYSTEMS; LARGE DEVIATIONS; TOPOLOGICAL-ENTROPY; GENERIC PROPERTIES; DIVERGENCE POINTS; BETA-SHIFTS;
D O I：
10.1090/conm/669/13428
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We offer an overview of the specification property, its relatives and their consequences. We examine relations between specification-like properties and such notions as: mixing, entropy, the structure of the simplex of invariant measures, and various types of the shadowing property. We pay special attention to these connections in the context of symbolic dynamics.
引用
收藏
页码：155 / +
页数：7
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