116 citations · 182 across the 15 of their papers we have counts for
4 papers · 1 filter
A Sub-Gaussian estimate for Dirichlet Heat Kernels on Tubular Neighbourhoods and Tightness of Conditional Brownian Motion
Olaf Wittich
We prove tightness of a family of path measures on tubes of small diameters around a closed and connected submanifold of another Riemannian m…
A Convergence Result for Dirichlet Semigroups on Tubular Neighbourhoods and the Marginals of Conditional Brownian Motion
Vera Nobis, Olaf Wittich
We investigate yet another approach to understand the limit behaviour of Brownian motion conditioned to stay within a tubular neighbourhood around a closed and connected submanifol…
Non-Uniqueness of Gibbs measures relative to Brownian motion
Volker Betz, Olaf Wittich
We consider Gibbs measures relative to Brownian motion of Feynman-Kac type, with single site potential V. We show that for a large class of V, including the Coulomb potential, ther…
Chernoff's Theorem and Discrete Time Approximations of Brownian Motion on Manifolds
O. G. Smolyanov, H. v. Weizsaecker, O. Wittich
Let (S(t)) be a one-parameter family S = (S(t)) of positive integral operators on a locally compact space L. For a possibly non-uniform partition of [0,1] define a measure on the p…