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Presented By: Complex Analysis, Dynamics and Geometry Seminar - Department of Mathematics

Classifying Hyperbolic Ergodic Stationary Measures on K3 Surfaces with Large Automorphism Groups

Megan Roda, University of Chicago

Let X be a K3 surface. Consider a finitely supported probability measure $\mu$ on Aut(X) such that $\Gamma_{\mu} = \langle Supp(\mu)\rangle < Aut(X) is non-elementary. We do not assume that $\Gamma_{\mu}$ contains any parabolic elements. We study and classify hyperbolic ergodic $\mu$-stationary probability measures on X.

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