MEASURE RIGIDITY FOR SOME TRANSCENDENTAL MEROMORPHIC FUNCTIONS

被引：1
|
作者：
Badenska, Agnieszka [1 ]
机构：
[1] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2012年 / 32卷 / 07期
关键词：
Holomorphic dynamics; hyperbolic function; thermodynamical formalism; conformal measure; conjugacy; rigidity; JULIA SETS; HYPERBOLIC DIMENSION; REAL ANALYTICITY; MAPS;
D O I：
10.3934/dcds.2012.32.2375
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider hyperbolic meromorphic functions of the following form f (z) = R o exp (z), where R is a non-constant rational function, satisfying so-called rapid derivative growth condition. We study several types of conjugacies in this class and prove a measure rigidity theorem in the case when f has a logarithmic tract over infinity and under some additional assumptions.
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页码：2375 / 2402
页数：28
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