Research

Takashi Kumagai is working on probability theory. In particular, he has been working in the field of stochastic processes and analysis on disordered media such as fractals, and has obtained anomalous properties of the heat transfer on the media. This is a fundamental research in order to understand physical phenomena on them. Jointly with his collaborators, Kumagai has established robust methods that are applicable to various disordered media. Moreover, these methods are used to prove anomalous heat transfer on random media such as percolation clusters at critical probability. He has also analyzed wide class of jump processes (non-local operators) and has made contributions on related areas.