Infinitely many ergodic measures with infinite entropy

27 juin 2025, 09:30
50m
Salle de conférences (IMB)

Salle de conférences

IMB

Orateur

Anna Miriam Benini

Description

Let $f$ be a transcendental entire function in class $B$ with finite order of growth.
We show that we can construct infinitely many ergodic measures with infinite entropy whose support is the Julia set. This is in contrast with the rational setting in which the measure of maximal entropy is unique. This is joint work with Leandro Arosio, John Erik Fornaess and Han Peters.

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