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Staff Introduction

HOSHINO, Masato / Assistant Professor

My research subject is stochastic analysis. Now I am studying nonlinear stochastic partial differential equations. We cannot apply usual calculus to those equations since they have solutions with bad regularities in general. In some cases, however, it is known that we can define those solutions rigorously by applying “renormalizations”. My goal is to prove the properties of those solutions.

Keywords Stochastic Analysis, Stochastic Partial Differential equations, KPZ equation, Rough Path Theory
Faculty , Department Faculty of Mathematics , Department of Mathematical Sciences