Computability in Dynamical Systems

Prof. Christian Wolf
Professor and Head of Department of Mathematics and Statistics
Mississippi State University

In this talk, we present a survey of recent advances in the study of computability within dynamical systems, a field that has experienced significant growth over the past two decades, yielding many surprising and insightful results. We will discuss developments related to the computability of entropy and pressure, the effective description of dynamically significant sets such as Julia sets and rotation sets, and the computability of certain natural invariant measures. The talk is intended for a general mathematical audience and aims to provide both a broad overview and an introduction to current research directions.