Tokyo Probability Seminar

Seminar information archive ~07/13Next seminarFuture seminars 07/14~

Date, time & place Monday 16:00 - 17:30 126Room #126 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Makiko Sasada, Shuta Nakajima


16:00-17:30   Room #126 (Graduate School of Math. Sci. Bldg.)
David Croydon (University of Warwick)
Scaling limits of random walks via resistance forms (ENGLISH)
[ Abstract ]
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.