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Jump-type Hunt processes generated by lower bounded semi-Dirichlet forms
Jump-type Hunt process semi-Dirichlet form censored pro-cess stable-like process
2012/4/16
Let $E$ be a locally compact separable metric space and $m$ be a positive Radon measure on it. Given a nonnegative function $k$ defined on $E\times E$ off the diagonal whose anti-symmetric part is ass...
The vanishing of L2 harmonic one-forms on based path spaces
L2 cohomology Hodge decomposition L2 harmonic forms path space Banach manifold Wiener measure
2012/4/17
We prove the triviality of the first L2 cohomology class of based path spaces of Riemannian manifolds furnished with Brownian motion measure, and the consequent vanishing of L2 harmonic one-forms. We ...