Asymptotics for return times of rank-one systems

被引：5

作者：

Chaumoître, V

Kupsa, M

机构：

[1] Univ Picardie Jules Verne, LAMFA, UMR 6140, F-80000 Amiens, France

[2] Ctr Phys Theor, F-13288 Marseille, France

[3] Charles Univ, Fac Math & Phys, Dept Theoret Comp Sci & Math Log, Prague 118 1, Czech Republic

来源：

STOCHASTICS AND DYNAMICS | 2005年 / 5卷 / 01期

关键词：

asymptotics; return times; rank-one; staircase transformation; mixing;

D O I：

10.1142/S0219493705001298

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We give a condition for nonperiodic rank-one systems to have non-exponential asymptotic distribution (equal to 1([1,infinity])) of return times along subsequences of cylinders. Applying this result to the staircase transformation, we derive mixing dynamical systems with non-exponential asymptotics. Moreover, we show for two columns rank-one systems unique asymptotic along full sequences of cylinders.

引用

页码：65 / 73

页数：9

共 21 条

[1]

Abadi M., 2001, MARKOV PROCESS RELAT, V7, P97

[2] Smorodinsky's conjecture on rank-one mixing [J].