On Lyapunov exponents at points in Julia set for iteration of rational maps

Speaker(s)

Feliks Przytycki

Affiliation

IMPAN

Date

Dec. 20, 2013, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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I plan to prove that:

1. The lower Lyapunov exponent at the critical value in Julia set J (in presence of only one critical value accumulating at J) is non-negative.

2. There is no point in J where finite Lyapunov exponent exists and is less than infimum of Lyapunov exponents of invariant ergodic measures on J.
 
These are results from my joint papers with Genadi Levin, Weixiao Shen, Katrin Gelfert and Michal Rams.

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