東京確率論セミナー

過去の記録 ~03/28次回の予定今後の予定 03/29~

開催情報 月曜日 16:00~17:30 数理科学研究科棟(駒場) 126号室
担当者 佐々田槙子、中島秀太(明治大学)
セミナーURL https://sites.google.com/view/tokyo-probability-seminar23/2023年度

2017年04月17日(月)

16:00-17:30   数理科学研究科棟(駒場) 126号室
David Croydon 氏 (University of Warwick)
Scaling limits of random walks via resistance forms (ENGLISH)
[ 講演概要 ]
In this talk, I will describe some recent work (partly joint with T. Kumagai, Kyoto University, and B. M. Hambly, University of Oxford) regarding scaling limits for random walks on spaces where the scaling limit of the associated resistance metric can be understood. This work is particularly applicable to "low-dimensional" graphs, whose scaling limits are trees and fractals, for example. It also gives a framework for understanding various time-changed processes on the spaces in question, such as those arising from Liouville Brownian motion, the Bouchaud trap model and the random conductance model.