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Ergodic Methods in Complex Dynamics

[HYBRID WORKSHOP] Connections Workshop: Complex Dynamics - from special families to natural generalizations in one and several variables February 02, 2022 - February 04, 2022

February 04, 2022 (11:30 AM PST - 11:55 AM PST)
Speaker(s): Yan Mary He (University of Oklahoma)
Location: SLMath: Online/Virtual
Tags/Keywords

  • Complex Dynamics

  • thermodynamic formalism

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Ergodic Methods In Complex Dynamics
Abstract

A hyperbolic rational map in one complex variable provides a natural uniformly hyperbolic dynamical system if we restrict the map to its Julia set. In this talk, I will explain how ergodic theoretic methods can help us understand (hyperbolic) rational maps and (hyperbolic components of) the moduli space. This is based on joint work with Hongming Nie.
Supplements
92596?type=thumb Ergodic Methods in Complex Dynamics 235 KB application/pdf Download
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Ergodic Methods In Complex Dynamics

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