Dirichelet Form for skew product diffusion process and Harmonic transform for one-dimensional diffusion process

Thời gian: 09:00 đến 11:30 Ngày 03/11/2016

Địa điểm: B4-705

Báo cáo viên: Tomoko Takemura

Tóm tắt:

I show my results for Dirichlet form and Harmonic transform. We treat skew product diffusion process of an one-dimensional diffusion process( ODDP for brief ) and the spherical Brownian motion( SBM for brief). We discuss the Dirichlet form corresponding to the skew product diffusion. We obtained some results for the Dirichlet form,  the representation, Recurrence/transience criteria, and the limit theorem. I am interested in Harmonic transform for ODDP. I mention the results about Harmonic transform if time permitted.