12 citations · 82 across the 32 of their papers we have counts for
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math.PR2013★ 1 cited
Functional inequalities on path space over a non-compact Riemannian manifold
Xin Chen, Bo Wu
We prove the existence of the O-U Dirichlet form and the damped O-U Dirichlet form on path space over a general non-compact Riemannian manifold which is complete and stochastically…
math.PR2013★ 5 cited
Perturbations of Functional Inequalities for Lévy Type Dirichlet Forms
Xin Chen, Feng-Yu Wang, Jian Wang
Perturbations of super Poincaré and weak Poincaré inequalities for Lévy type Dirichlet forms are studied. When the range of jumps is finite our results are natural extensions to th…