NONINVERTIBLE TRANSFORMATIONS ADMITTING NO ABSOLUTELY CONTINUOUS SIGMA-FINITE INVARIANT MEASURE

被引：7

作者：

HAWKINS, JM ^{[1
]}

SILVA, CE ^{[1
]}

机构：

[1] WILLIAMS COLL,DEPT MATH,WILLIAMSTOWN,MA 01267

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 111卷 / 02期

关键词：

D O I：

10.2307/2048336

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a family of n-to-1 conservative ergodic endomorphisms which we will show to admit no sigma-finite absolutely continuous invariant measure. We exhibit recurrent measures for these transformations and study their ratio sets; the examples can be realized as C-parts per thousand endomorphisms of the 2-torus.

引用

页码：455 / 463

页数：9

共 15 条

[1] MIXING PROPERTIES OF MARKOV OPERATORS AND ERGODIC TRANSFORMATIONS, AND ERGODICITY OF CARTESIAN PRODUCTS [J].