时 间:2025年12月15 日(周一)10:00 – 11:00
地 点:理科大楼A614室
报告人:黄凤麟 北京大学数学学院博士生
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 [0,1]^2 with mesh size $\delta$ external field {\epsilon h_v} where h_v will be i.i.d. normal variables. Our main interest is the behavior of interfaces between plus and minus spins at critical temperature. We show that almost surely in the disorder, any subsequecntial limit of the quenched law of the interface is absolutely continuous with respect to SLE_3. We then show that this contrasts with the subsequential limit of the quenched law of the collection of outmost spin loops, which turns out to be almost surely singular with respect to outmost CLE_3. This talk is based on a joint work with L\'eonie Papon and Aoteng Xia.
报告人简介:
Fenglin Huang is a second year Phd student from the school of mathematical scinece in Peking university. He is interested in probability theory and statistical physics.