Work

Weak convergence of regular Dirichlet subspaces

Year: 2015

Type: article

Abstract: 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].

Source: Osaka City University (Osaka City University)

DOI: 10.48550/arxiv.1509.01773

Authors: Li, Liping, Uemura, Toshihiro, Ying, Jiangang

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, China Postdoctoral Science Foundation

Awards: G2539779449, G2679346262, G5150930915, G7240695195, G8583070219

OpenAlex ID: W2231183176

FWCI: 0.971

Cites: 6

Cited by: 5

Related to: 10