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
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页码：155 / +
页数：7
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