ABSOLUTELY CONTINUOUS INVARIANT-MEASURES AND RANDOM PERTURBATIONS FOR CERTAIN ONE-DIMENSIONAL MAPS

被引:67
作者
BENEDICKS, M
YOUNG, LS
机构
[1] ROYAL INST TECHNOL,DEPT MATH,S-10044 STOCKHOLM 70,SWEDEN
[2] UNIV ARIZONA,DEPT MATH,TUCSON,AZ 85721
[3] UNIV CALIF LOS ANGELES,DEPT MATH,LOS ANGELES,CA 90024
关键词
D O I
10.1017/S0143385700006556
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the quadratic family and show that for a positive measure set of parameters the map has an absolutely continuous invariant measure that is stable under small random perturbations.
引用
收藏
页码:13 / 37
页数:25
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