时 间：2024年4月16日 14:00-15:00
地 点：普陀校区理科大楼A1714
报告人：黄凤麟北京大学学生
主持人：俞锦炯华东师范大学助理教授
摘 要：
<img class="akeylayout_img"tudied the random field Ising model (RFIM) on the box [-N,N]^d ∩ ℤ^d with external field {εh_v} where h_v will be i.i.d. normal variables. Our main interest is the behavior of boundary influence m(T,N,ε). In dimension 2, it has been proved that m(T,N,ε) decays to 0 with exponential rate for any temperature T and any fixed ε > 0. We will focus on the critical temperature T_c and the case that ε decays with N. The main result is that if ε << N^(-7/8) it has little influence, i.e., m(T_c,N,ε) has the same order as m(T_c,N,0); and if ε >> N^(-7/8), the ratio between m(T_c,N,ε) and m(T_c,N,0) will be of order exp(-cε^(8/7)N). This talk is based on a joint work with Jian Ding and Aoteng Xia.
报告人简介：
Fenglin Huang is a senior student from the school of mathematical science in Peking University. He is interested in probability theory and statistical physics.