Computing invariant densities and metric entropy

被引：18
|
作者：
Pollicott, M
Jenkinson, O
机构：
[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England
[2] CNRS, Inst Math Luminy, UPR 9016, F-13288 Marseille 9, France
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 211卷 / 03期
关键词：
D O I：
10.1007/s002200050832
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a method fur accurately computing the metric entropy (or, equivalently, the Lyapunov exponent) of the absolutely continuous invariant measure mu for a piecewise analytic expanding Markov map T of the interval. We construct atomic signed measures mu(M) supported on periodic orbits up to period M, and prove that integral log \T'\ d mu (M) --> (h) over bar (mu) super-exponentially fast, We illustrate our method with several examples.
引用
收藏
页码：687 / 703
页数：17
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