Asymptotic orbit complexity of infinite measure preserving transformations

被引：14

作者：

Zweimuller, R ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2006年 / 15卷 / 01期

关键词：

Kolmogorov complexity; algorithmic information content; infinite invariant measure; intermittency; indifferent orbits; ration ergodic theorem;

D O I：

10.3934/dcds.2006.15.353

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine the asymptotics of the Kolmogorov complexity of symbolic orbits of certain infinite measure preserving transformations. Specifically, we prove that the Brudno-White individual ergodic theorem for the complexity generalizes to a ratio ergodic theorem analogous to previously established extensions of the Shannon - McMillan - Breiman theorem.

引用

页码：353 / 366

页数：14