Prevalence of rapid mixing in hyperbolic flows

被引：83

作者：

Dolgopyat, D ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1998年 / 18卷

关键词：

D O I：

10.1017/S0143385798117431

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide necessary and sufficient conditions for a suspension flow, over a subshift of finite type, to mix faster than any power of time. Then we show that these conditions are satisfied if the flow has two periodic orbits such that the ratio of the periods cannot be well approximated by rationals.

引用

页码：1097 / 1114

页数：18

共 11 条

[1]

ANOSOV DV, 1967, P STEKLOV I MATH, V90

[2]

CHERNOV NI, 1998, ANN MATH, V147

[3]

DOLGOPYAT D, 1998, IN PRESS ANN MATH, V147

[4]

Kaloshin V., 1996, P STEKLOV I MATH, V213, p[123, 115]

[5]

Parry W., 1990, ASTERISQUE, V187-188

[6] ERROR TERMS IN PRIME ORBIT THEOREMS FOR LOCALLY CONSTANT SUSPENDED FLOWS [J].

POLLICOTT, M .

QUARTERLY JOURNAL OF MATHEMATICS, 1990, 41 (163) :313-323

[7] ON THE RATE OF MIXING OF AXIOM-A FLOWS [J].

POLLICOTT, M .

INVENTIONES MATHEMATICAE, 1985, 81 (03) :413-426

[8]

Pollicott M., 1984, Ergodic Theory Dynam. Systems, V4, P135, DOI DOI 10.1017/S0143385700002327

[9]

RUELLE D, 1983, CR ACAD SCI I-MATH, V296, P191

[10]

Ruelle D., 1978, THERMODYNAMIC FORMAL

← 1 2 →