CONSTRUCTIVE APPROXIMATIONS TO THE INVARIANT DENSITIES OF HIGHER-DIMENSIONAL TRANSFORMATIONS

被引：7

作者：

BOYARSKY, A

GORA, P

LOU, YS

机构：

[1] Department of Mathematics, Concordia University, Montreal, H4B 1R6

来源：

CONSTRUCTIVE APPROXIMATION | 1994年 / 10卷 / 01期

关键词：

INVARIANT MEASURES; HIGHER-DIMENSIONAL TRANSFORMATIONS; APPROXIMATIONS;

D O I：

10.1007/BF01205163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let tau be a piecewise C2 transformation on a rectangular partition of the n-dimensional cube which has a unique absolutely continuous invariant measure, An approximation to tau by a sequence of Jablonski transformations is presented and it is shown that the associated sequence of invariant density functions converges to the density function invariant under tau. An example is presented.

引用

页码：1 / 13

页数：13

共 10 条

[1] APPROXIMATING MEASURES INVARIANT UNDER HIGHER-DIMENSIONAL CHAOTIC TRANSFORMATIONS [J].