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Lyapunov exponents for non-ergodic meromorphic functions.
- Source :
-
Proceedings of the American Mathematical Society . Apr2023, Vol. 151 Issue 4, p1609-1620. 12p. - Publication Year :
- 2023
-
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]
- Subjects :
- *LYAPUNOV exponents
*MEROMORPHIC functions
*TRANSCENDENTAL functions
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 161956705
- Full Text :
- https://doi.org/10.1090/proc/16256