Statistical and non-statistical dynamics in doubly intermittent maps

CDSNS Colloquium
Friday, November 11, 2022 - 3:30pm for 1 hour (actually 50 minutes)
In-person in Skiles 005
Stefano Luzzatto – Abdus Salam International Centre for Theoretical Physics (ICTP) – luzzatto@ictp.it
Alex Blumenthal

Please Note: In-person. Streaming available via zoom: Zoom link:


We introduce a large family of one-dimensional full branch maps which generalize the classical “intermittency maps” by admitting two neutral fixed points and possibly also critical points and/or singularities. We study the statistical properties of these maps for various parameter values, including the existence (and non-existence) of physical measures, and their properties such as decay of correlations and limit theorems. In particular we describe a new mechanism for relatively persistent non-statistical chaotic dynamics. This is joint work with Douglas Coates and Muhammad Mubarak.