2 papers
math.AP2020
Isolated singularities in the heat equation behaving like fractional Brownian motions
Mikihiro Fujii, Izumi Okada, Eiji Yanagida
We consider solutions of the linear heat equation in with isolated singularities. It is assumed that the position of a singular point depends on time and is Hölder c…
math.PR2016
Topics and problems on favorite sites of random walks
Izumi Okada
In this article, we study special points of a simple random walk and a Gaussian free field, such as (nearly) favorite points, late points and high points. In section , we extend…