Historic behaviour vs. physical measures for irrational flows with multiple stopping points

Date. September 18, 14h00m (UTC/GMT+1)

Speaker. Pierre-Antoine Guiheneuf (Université Paris Sorbonne)

Title. Historic behaviour vs. physical measures for irrational flows with multiple stopping points

Abstract.

When studying the ergodic properties of a dynamical system, one can look at the dichotomy convergence vs. divergence of Birkhoff averages for a positive Lebesgue measure set of points. In this talk, we will study this question in the case of a linear irrational flow of the 2 torus reparametrized at two stopping points. In particular, we will see that the answer depends on the Diophantine type of the slope of the flow.

 

Online Zoom meeting (Session will open some minutes before 14h00)

https://videoconf-colibri.zoom.us/j/95003612030?pwd=QXo5djVZZGVMdkppZzVqRVNzRjFVUT09

Meeting ID: 950 0361 2030

Password: 217929

Date and Venue

Start Date
Venue
Online seminar

Speaker

Pierre-Antoine Guiheneuf

Speaker's Institution

Université Paris Sorbonne

Area

Dynamical Systems