Non-convergence of equilibrium states at zero temperature limit

Date. March 05, 13h00 (UTC/GMT) - UNUSUAL TIME!

Speaker.  Mao SHINODA (Keio University)

Title. Non-convergence of equilibrium states at zero temperature limit

Abstract.

We construct finite-range interactions on a two dimensional symbolic dynamical system, for which the associated equilibrium states (i.e., the shift-invariant Gibbs states) fail to converge as temperature goes to zero. More precisely, if we pick any one-parameter family of equilibrium states at inverse temperature for this interaction, then the limit does not exist. This settles a question posed by Chazottes and Hochman who obtained such a non-convergence behavior when dimension greater than 3.

 

Online Zoom meeting (Session will open some minutes before 14h00)
https://videoconf-colibri.zoom.us/j/86482334142?pwd=aGV3QWE1NWRPaXplY2dvMlRXVGU1dz09

Meeting ID: 864 8233 4142

Password: 789871

Date and Venue

Start Date
Venue
Online seminar

Speaker

Mao SHINODA

Speaker's Institution

Keio University

Area

Dynamical Systems