Exponential Decay of Correlations in 2-Dimensional Random Field Ising Model

Topic: 
Exponential Decay of Correlations in 2-Dimensional Random Field Ising Model
Date & Time: 
Thursday, October 31, 2019 - 11:00 to 12:00
Speaker: 
Jiaming Xia, University of Pennsylvania
Location: 
Room 102, Pudong Campus, NYU Shanghai, 1555 Century Avenue

Abstract:

We consider the random field Ising model on Z^2 with external field i.i.d. N(0,\epsilon). I will present a recent result that under nonnegative temperatures, the effect of boundary conditions at distance N away on the magnetization in a finite box decays exponentially. This talk is based on the joint work with Prof. Jian Ding.

Biography:

Jiaming Xia graduated from NYU Shanghai in 2017 with a B.S. in Honors Mathematics. She is currently a third-year PhD student at the University of Pennsylvania, supervised by Prof. Jian Ding. Her main research interest is on probabilistic models of mathematical physics.

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Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai