12 citations · 37 across the 16 of their papers we have counts for
16 papers
Quasi-invariant theorem on the Gaussian path space
Qinpin Chen, Jian Sun, Bo Wu
In this article, we will first introduce a class of Gaussian processes, and prove the quasi-invariant theorem with respect to the Gaussian Wiener measure, which is the law of the a…
Logarithmic heat kernels estimates without curvature restrictions
Xin Chen, Xue Mei Li, Bo Wu
The main results of the article are short time estimates and asymptotic estimates for the first two order derivatives of the logarithmic heat kernel of a complete Riemannian manifo…
Spectral gaps for the O-U/Stochastic heat processes on path space over a Riemannian manifold with boundary
Bo Wu
Fang-Wu\cite{FW17} presented a explicit spectral gap for the O-U process on path space over a Riemannian manifold without boundary under the bounded Ricci curvature conditions. In…
Approximation to Wiener measure on a general noncompact Riemannian manifold
Bo Wu
In prior work \cite{AD} of Lars Andersson and Bruce K. Driver, the path space with finite interval over a compact Riemannian manifold is approximated by finite dimensional manifold…
Stochastic Heat Equations for infinite strings with Values in a Manifold
Xin Chen, Bo Wu, Rongchan Zhu +1
In the paper, we construct conservative Markov processes corresponding to the martingale solutions to the stochastic heat equation on or with values in…
Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms
Michael Röckner, Bo Wu, Rongchan Zhu +1
In this paper, we prove the existence of martingale solutions to the stochastic heat equation taking values in a Riemannian manifold, which admits Wiener (Brownian bridge) measure…