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

Prelegent(ci)

Feliks Przytycki

Afiliacja

IMPAN

Termin

20 grudnia 2013 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

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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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