Department of Mathematics

Indian Institute of Science

Bangalore 560 012

 

SEMINAR

 

Speaker

:

Arvind Ayyer
Affiliation : IISc, Bangalore

Subject Area

:

Mathematics

 

Venue

:

Department of Mathematics, Lecture Hall I

 

Time

:

02:15 p.m.

 

Date  

:

April 04, 2016 (Monday)

Title

:

"The large deviation function of the current for a disordered open 
exclusion process"
Abstract

:

We will consider a long range exclusion process on a finite one-dimensional lattice with open boundaries and site-dependent hopping rates. This is a special case of a nonabelian sandpile model studied by Schilling, Steinberg, Thiery and the speaker (Commun. Math. Phys, 2013). We will calculate the large deviation function of the joint currents across each edge simultaneously. We will also show that, conditioned on observing atypical current, the quasistationary distribution is a renormalised version of the same process using the modified Doob transform.