Rare Events Point Processes in Infinite Measure Dynamical Systems

Explore rare events point processes in infinite measure dynamical systems through this 56-minute conference talk delivered by Dylan Bansard-Tresse at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI). Begin with a review of classical results for hitting and return time statistics in the infinite measure context. Delve into generalizations of these concepts to address the rare events point process, considering all return and hitting times. Examine the application of this method to achieve convergence of the rare event point process around every point in the context of infinite measure Manneville-Pommeau maps. Gain insights from this presentation, which was part of the Workshop on "Rare Events in Dynamical Systems" held at ESI in March 2024.