3 papers
math.PR2019
On temporal regularity of stochastic convolutions in -smooth Banach spaces
Martin Ondrejat, Mark Veraar
We show that paths of solutions to parabolic stochastic differential equations have the same regularity in time as the Wiener process (as of the current state of art). The temporal…
math.PR2014
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere
L'ubomír Banas, Zdzisław Brzeźniak, Misha Neklyudov +2
We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering the space variable-independent soluti…
math.PR2012
Weak characterizations of stochastic integrability and Dudley's theorem in infinite dimensions
Martin Ondrejat, Mark Veraar
In this paper we consider stochastic integration with respect to cylindrical Brownian motion in infinite dimensional spaces. We study weak characterizations of stochastic integrabi…