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.
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页码：353 / 366
页数：14
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