Title: Distorted Brownian motion on spaces with varying dimension
Speaker: Shuwen Lou
Speaker Info: Loyola University
Brief Description:
Special Note:
Abstract:
we introduce "distorted Brownian motion" (dBM) on a state space with varying dimension. Roughly speaking, the state space consists of two components: a 3-dimensional component and a 1-dimensional component. These two parts are joined together at the origin. The restriction of dBM on the 3-d component models a homopolymer with attractive potential at the origin. The restriction of dBM on the 1-d component also receives a push towards the origin. Such a process can be nicely characterized in terms of Dirichlet form, and we can find its density estimate by characterizing its radial process.Date: Tuesday, January 07, 2020