LYAPUNOV EXPONENTS FOR NON-ERGODIC MEROMORPHIC FUNCTIONS

被引：0
|
作者：
Kotus, Janina [1 ]
Balderas, Marco Montes De Oca [2 ]
机构：
[1] Warsaw Univ Technol, Fac Math & Informat Sci, Ul Koszykowa 75, PL-00662 Warsaw, Poland
[2] Univ Nacl Autonoma Mexico, Fac Ciencias, Ave Univ 3000,Circuito Exterior S-N,Ciudad Univ, Ciudad de Mexico 04510, Mexico
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年
关键词：
Transcendental meromorphic functions; Julia set; Lyapunov exponents;
D O I：
10.1090/proc/16256
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Levin, Przytycki and Shen [Invent. Math. 205 (2016), pp. 363- 382] proved for a polynomial map fc(z) = zd + c, d >= 2 and c is an element of C, with Julia set J(f) of positive measure that for a.e. z is an element of J(f) the Lyapunov exponent chi s(z) = 0. The aim of this paper is to show that the extension to non-entire transcendental meromorphic functions is not possible.
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页码：1609 / 1620
页数：12
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