193 citations · 630 across the 38 of their papers we have counts for
26 papers · 1 filter
Invariant cones for jump-diffusions in infinite dimensions
Stefan Tappe
In this paper we provide sufficient conditions for stochastic invariance of closed convex cones for stochastic partial differential equations (SPDEs) of jump-diffusion type, and cl…
Distance between closed sets and the solutions to stochastic partial differential equations
Toshiyuki Nakayama, Stefan Tappe
The goal of this paper is to clarify when the solutions to stochastic partial differential equations stay close to a given subset of the state space for starting points which are c…
An addendum to "Mild solutions to semilinear stochastic partial differential equations with locally monotone coefficients"
Stefan Tappe
In this addendum we provide an existence and uniqueness result for mild solutions to semilinear stochastic partial differential equations driven by Wiener processes and Poisson ran…
Permutation invariant strong law of large numbers for exchangeable sequences
Stefan Tappe
We provide a permutation invariant version of the strong law of large numbers for exchangeable sequences of random variables. The proof consists of a combination of the Komlós-Berk…
The dual Yamada-Watanabe theorem for mild solutions to stochastic partial differential equations
Stefan Tappe
We provide the dual result of the Yamada-Watanabe theorem for mild solutions to semilinear stochastic partial differential equations with path-dependent coefficients. An essential…
A note on the von Weizsäcker theorem
Stefan Tappe
The von Weizsäcker theorem states that every sequence of nonnegative random variables has a subsequence which is Cesàro convergent to a nonnegative random variable which might be i…