#  Seminar: Jian Ding (Peking University): "Recent progress on random field Ising model" 

 



####  calendar\_today Date and Time 

 **February 15, 2022** 

 09:30AM - 09:30AM EST 

####  pin\_drop Location 

 **Zoom: https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09**  



 

 



 

   ![Jian Ding](/sites/g/files/omnuum6611/files/styles/hwp_1_1__360x360_scale/public/mathpicture/files/jian_ding.jpg?itok=2lCFLbo0) 

 

 **Speaker:** Jian Ding (Peking University)  
**Title:** Recent progress on random field Ising model  
**Abstract:** 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 (joint with Jiaming Xia) and correlation length in dimension two (joint with Mateo Wirth), a new proof for long range order in dimension three (joint with Zijie Zhuang) and a recent general inequality for the Ising model (joint with Jian Song and Rongfeng Sun) which has implications for random field Ising model.



 

 

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 Attachments- [  picture\_as\_pdf  2022-02-15\_ding\_seminar.pdf ](/sites/g/files/omnuum6611/files/mathpicture/files/2022-02-15_ding_seminar.pdf)
 
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