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Recent progress on random field Ising model

Jian Ding, Univ of Pennsylvania
Monday, May 17, 2021 - 2:30pm to 3:20pm

Random field Ising model is a canonical example to study the effect of disorder on long range order. In 70's, Imry-Ma predicted that in the presence of weak disorder, the long-range order persists at low temperatures in three dimensions and above but disappears in two dimensions. In this talk, I will review mathematical development surrounding this prediction, and I will focus on recent progress on exponential decay and on correlation length in two dimensions. The talk is based on a joint work with Mateo Wirth and a joint work with Jiaming Xia.

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