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(Sep. 15) Lyapunov exponents and related concepts for entire functions

Last updated :2017-09-11

Topic: Lyapunov exponents and related concepts for entire functions
Speaker: Professor ZHENG Jianhua
(Department of Mathematical Sciences, Tshinghua University)
Time: 16:00-17:00, Friday, September 15, 2017
Venue: Room 416, New Mathematics Building, Guangzhou South Campus, SYSU

Abstract:
(This is joint work with Bergweiler and Yao Xiao.) We discuss the Lyapunov exponents of transcendental meromorphic functions defined in terms of the sperical derivative. We found the existence of difference between the rational and transcendental cases. We will prove that there exists a density subset of Julia set at whose point the Lyapunov exponent is infinity.