Computing invariant measures for expanding circle maps

被引：31

作者：

Keane, M

Murray, R

Young, LS

机构：

[1] Ctr Wiskunde & Informat, NL-1090 GB Amsterdam, Netherlands

[2] Univ Cambridge, Stat Lab, Cambridge CB2 1SB, England

[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

NONLINEARITY | 1998年 / 11卷 / 01期

关键词：

D O I：

10.1088/0951-7715/11/1/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be a sufficiently expanding C(2) circle map. We prove that a certain Markov approximation scheme based on a partition of S(1) into 2(N) equal intervals produces a probability measure whose total variation norm distance from the exact absolutely continuous invariant measure is bounded by CN2(-N); C is a constant depending only on the map f.

引用

页码：27 / 46

页数：20

共 11 条

[1]

[Anonymous], 1992, Stochastic Stability of Markov chains

[2]

DEMELO W, 1993, ONE DIMENSIONAL DYNA

[3] Finite approximations of Frobenius-Perron operators. A solution of Ulam's conjecture to multi-dimensional transformations [J].