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.

引用

页码：2375 / 2402

页数：28

共 50 条

[21] On transcendental meromorphic functions with radially distributed values
Jianhua Zheng
Science in China Series A: Mathematics, 2004, 47 : 401 - 416
[22] On transcendental meromorphic functions which are geometrically finite
Zheng, JH
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 72 : 93 - 107
[23] Remarks on Herman rings of transcendental meromorphic functions
Zheng, JH
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (07): : 747 - 751
[24] On transcendental meromorphic functions with radially distributed values
ZHENG Jianhua Department of Mathematical Sciences
Science China Mathematics, 2004, (03) : 401 - 416
[25] Transcendental meromorphic functions with three singular values
Eremenko, A
ILLINOIS JOURNAL OF MATHEMATICS, 2004, 48 (02) : 701 - 709
[26] On transcendental meromorphic functions with radially distributed values
Zheng, JH
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2004, 47 (03): : 401 - 416
[27] DIRECT TRANSCENDENTAL SINGULARITIES FOR INVERSE FUNCTIONS OF MEROMORPHIC FUNCTIONS AND OF THEIR DERIVATIVES
张广厚
Science China Mathematics, 1982, (08) : 797 - 807
[28] DIRECT TRANSCENDENTAL SINGULARITIES FOR INVERSE FUNCTIONS OF MEROMORPHIC FUNCTIONS AND OF THEIR DERIVATIVES
ZHANG, GH
SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1982, 25 (08): : 797 - 807
[29] Rigidity of escaping dynamics for transcendental entire functions
Rempe, Lasse
ACTA MATHEMATICA, 2009, 203 (02) : 235 - 267
[30] UNIQUENESS OF TRANSCENDENTAL MEROMORPHIC FUNCTIONS AND CERTAIN DIFFERENTIAL POLYNOMIALS
Jayarama, H. R.
Naveenkumar, S. H.
Rajeshwari, S.
Chaithra, C. N.
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (04): : 765 - 780

← 1 2 3 4 5 →