【NLPDEセミナー(関西確率論セミナーと合同)】
The Kardar-Parisi-Zhang equation is a universal model of 1d growing interfaces introduced in 1986. Recently Hairer has shown how to use rough path theory to obtain a full well-posedness theory for it. In this talk I will revise the solution of the KPZ equation using paracontrolled calculus and discuss the properties of the solution and the convergence of discrete approximations to the continuum limit.