Uniform tail entropy for real analytic maps

被引：1

作者：

Liao, Gang ^{[1
]}

机构：

[1] IMPA, BR-22460820 Rio De Janeiro, Brazil

来源：

TOPOLOGY AND ITS APPLICATIONS | 2015年 / 183卷

关键词：

Analytic map; Tail entropy; Entropy expansiveness; GROWTH;

D O I：

10.1016/j.topol.2014.12.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a compact real analytic manifold of finite dimension. There is a function a : (0, + infinity) -> [0, + infinity) with lim(t -> 0) a(t) = 0 such that the tail entropy h*(f, epsilon) of any real analytic map f on M is uniformly bounded above by the scale a(epsilon). (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：1 / 10

页数：10

共 15 条

[1] ENTROPY-EXPANSIVE MAPS
BOWEN, R
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 164 (NFEB) : 323 - &
[2] The entropy theory of symbolic extensions
Boyle, M
Downarowicz, T
[J]. INVENTIONES MATHEMATICAE, 2004, 156 (01) : 119 - 161
[3] Intrinsic ergodicity of smooth interval maps
Buzzi, J
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1997, 100 (1) : 125 - 161
[4] DENKER M, 1976, LECT NOTES MATH, V0532, P00070
[5] NON-EXPANSIVE HENON MAPS
MILNOR, J
[J]. ADVANCES IN MATHEMATICS, 1988, 69 (01) : 109 - 114
[6] MISIUREWICZ M, 1973, B ACAD POL SCI SMAP, V21, P903
[7] TOPOLOGICAL CONDITIONAL ENTROPY
MISIUREWICZ, M
[J]. STUDIA MATHEMATICA, 1976, 55 (02) : 175 - 200
[8] Newhouse S., 1990, ANN MATH, V129, P215
[9] UNSTABLE HOMEOMORPHISMS
UTZ, WR
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 1 (06) : 769 - 774
[10] Walters P., 2001, INTRO ERGODIC THEORY

← 1 2 →