12 citations · 82 across the 32 of their papers we have counts for
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math.PR2009★ 6 cited
A Concrete Estimate For The Weak Poincare Inequality On Loop Space
Xin Chen, Xue-Mei Li, Bo Wu
The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected compact Riemannian manifold together with the Hilbert space structure induced b…
math.PR2009★ 12 cited
A Poincaré Inequality on Loop Spaces
Xin Chen, Xue-Mei Li, Bo Wu
We investigate properties of measures in infinite dimensional spaces in terms of Poincaré inequalities. A Poincaré inequality states that the variance of an admissible functi…