34 citations · 260 across the 72 of their papers we have counts for
7 papers · 2 filters
Weak convergence of regular Dirichlet subspaces
Liping Li, Toshihiro Uemura, Jiangang Ying
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 prec…
Killing transform on regular Dirichlet subspaces
Liping Li, Jiangang Ying
In this paper, we shall consider the killing transform induced by a multiplicative functional on regular Dirichlet subspaces of a fixed Dirichlet form. Roughly speaking, a regular…
The -orthogonal complements of regular subspaces of 1-dim Brownian motion
Liping Li, Xiucui Song
Roughly speaking, a regular subspace of a Dirichlet form is a subspace, which is also a regular Dirichlet form, on the same state space. In particular, the domain of regular subspa…
Regular Dirichlet subspaces and Mosco convergence
Liping Li, Xiucui Song
In this paper, we shall explore the Mosco convergence on regular subspaces of one-dimensional irreducible and strongly local Dirichlet forms. We find that if the characteristic set…
Regular subspaces of Dirichlet forms
Liping Li, Jiangang Ying
The regular subspaces of a Dirichlet form are the regular Dirichlet forms that inherit the original form but possess smaller domains. The two problems we are concerned are: (1) the…
Bivariate Revuz measures and the Feynman-Kac formula on semi-Dirichlet forms
Liping Li, Jiangang Ying
In this paper, we shall first establish the theory of bivariate Revuz correspondence of positive additive functionals under a semi-Dirichlet form, which is associated with a right…
Regular subspaces of skew product diffusions
Liping Li, Jiangang Ying
Roughly speaking, the regular subspace of a Dirichlet form is also a regular Dirichlet form on the same state space. It inherits the same form of original Dirichlet form but posses…