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math.PR2015★ 1 cited
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…
math.PR2015★ 6 cited
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…