Department of Mathematics

Indian Institute Of Technology Madras , Chennai

Spectral gap and cutoff of the simple exclusion process with IID conductances

Speaker : Shangjie Yang, Instituto de Matemática e Estatística da Universidade de São Paulo, BRAZIL

09-10-2024

Abstract :

In this talk, we study the spectral gap and mixing time of the simple exclusion process in a finite line segment, where we swap the contents of two sites $x, x+1$ at rate $c(x, x+1)$. Under some assumption on $c(x, x+1)_x$ and the number of particles, we identify the spectral gap, and prove that the total variation distance to equilibrium drops abruptly from 1 to 0 at a certain instant.

Key Speaker Shangjie Yang, Instituto de Matemática e Estatística da Universidade de São Paulo, BRAZIL
Place KCB 504
Start Time 4:30 PM
Finish Time 5:30 PM
External Link None