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1. Lyapunov exponents for non-ergodic meromorphic functions.

Author

Kotus, Janina and de Oca Balderas, Marco Montes

Subjects
*LYAPUNOV exponents, *MEROMORPHIC functions, *TRANSCENDENTAL functions, *MATHEMATICS
Abstract

Levin, Przytycki and Shen [Invent. Math. 205 (2016), pp. 363–382] proved for a polynomial map f_c(z)=z^d+c, d\geq 2 and c \in \mathbb C, with Julia set J(f) of positive measure that for a.e. z \in 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. [ABSTRACT FROM AUTHOR]

Published
2023
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