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math.PR2026
No free lunch for continuity of stochastic convolutions
Mark Veraar, Joris van Winden
We construct compact, exponentially stable -semigroups on Hilbert spaces such that, for every , the stochastic convolution $U_g(t)=\int_0^t S(t-s)g(s)\,\mathrm{d}…
math.PR2025
Synchronization by noise for traveling pulses
Christian Kuehn, Joris van Winden
We consider synchronization by noise for stochastic partial differential equations which support traveling pulse solutions, such as the FitzHugh-Nagumo equation. We show that any t…