2015/09/06 by Liping Li, Li, Liping, Toshihiro Uemura +3
Computer Science · Mathematics · #31C25 #60F05 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Nonlinear Differential Equations Analysis #Probability (math.PR) #advanced mathematical theories #math.PR #msc:31C25 #msc:60F05
paper · pdf · doi:10.48550/arxiv.1509.01773
There are some overlaps with arXiv:1505.00451
arxiv created 2015/09/06 · openalex publication_date 2015/09/06 · arxiv updated 2015/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we shall prove the weak convergence of the associated diffusion processes of regular subspaces with monotone characteristic sets for a fixed Dirichlet form. More precisely, given a fixed 1-dimensional diffusion process and a sequence of its regular subspaces, if the characteristic sets of regular subspaces are decreasing or increasing, then their associated diffusion processes are weakly convergent to another diffusion process. This is an extended result of [13].