MAXIMAL ABSOLUTELY CONTINUOUS INVARIANT-MEASURES FOR PIECEWISE LINEAR MARKOV TRANSFORMATIONS

被引：3
|
作者：
BYERS, W
GORA, P
BOYARSKY, A
机构：
[1] CONCORDIA UNIV,DEPT MATH,MONTREAL H4B 1R6,QUEBEC,CANADA
[2] UNIV WARSAW,DEPT MATH,PL-00325 WARSAW,POLAND
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1990年 / 10卷
关键词：
D O I：
10.1017/S0143385700005824
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let A be an irreducible 0-1 matrix such that the non-zero entries in each row are consecutive. Let C(max) be the class of piecewise linear Markov transformations tau on [0, 1] into [0, 1] induced by A for which the absolutely continuous invariant measure has maximal entropy. The main result presents necessary and sufficient slope conditions on tau which guarantee that pi-epsilon-C(max).
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页码：645 / 656
页数：12
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