Computing invariant measures of piecewise convex transformations

被引：8
|
作者：
Ding, J
机构：
[1] Department of Mathematics, University of Southern Mississippi, Hattiesburg
来源：
JOURNAL OF STATISTICAL PHYSICS | 1996年 / 83卷 / 3-4期
关键词：
invariant measure; Frobenius-Perron operator;
D O I：
10.1007/BF02183742
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Let S: [0, 1] --> [0, 1] be a piecewise convex transformation satisfying some conditions which guarantee the existence of an absolutely continuous invariant probability measure. We prove the convergence of a class of Markov finite approximations for computing the invariant measure, using a compactness argument for L(1)-spaces.
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页码：623 / 635
页数：13
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