Probability and Statistics Seminar——Long range order for three-dimensional random field Ising model throughout the entire low temperature regime
报告人:Yu Liu & Aoteng Xia (PKU)
时间:2022-10-31 14:00-15:30
地点:Room 1114, Sciences Building No. 1
Abstract:
We study the Ising model on Z^3 with an externel field {\epsilon h_v} where h_v~N(0,1). We want to show that for any T lower than the critical temperature T_c, the long range order exsits as long as \epsilon is sufficiently small depending on T. This work extends previous results of Imbrie (1985) and Bricmont–Kupiainen (1988) from the very low temperature regime to the entire low temperature regime. Based on joint work with Jian Ding.