ON THE EXISTENCE OF CONFORMAL MEASURES

被引：106

作者：

DENKER, M ^{[1
]}

URBANSKI, M ^{[1
]}

机构：

[1] INST MATH,PL-87100 TORUN,POLAND

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 328卷 / 02期

关键词：

D O I：

10.2307/2001795

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A general notion of conformal measure is introduced and some basic properties are studied. Sufficient conditions for the existence of these measures are obtained, using a general construction principle. The geometric properties of conformal measures relate equilibrium states and Hausdorff measures. This is shown for invariant subsets of S1 under expanding maps.

引用

页码：563 / 587

页数：25

共 25 条

[1]

BOWEN R, 1975, LECTURE NOTES MATH, V470

[2] ON THE UNIQUENESS OF EQUILIBRIUM STATES FOR PIECEWISE MONOTONE MAPPINGS [J].