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On Lyapunov exponents of rational maps on P^k

Speaker(s)
Michał Szostakiewicz
Affiliation
Uniwersytet Warszawski
Date
April 16, 2010, 10:15 a.m.
Room
room 5840
Seminar
Seminar of Dynamical Systems Group

Urbański and Zdunik have constructed and studied the equilibrium states for rational maps on complex projective spaces. In my talk I will explain how to prove that their Lyapunov exponents are positive. The main tool to do that will be studying contracting inverse branches on balls in Pk.