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math.PR2025
Discrete-to-continuum limits of semilinear stochastic evolution equations in Banach spaces
Yves van Gennip, Jonas Latz, Joshua Willems
We study the convergence of semilinear parabolic stochastic evolution equations, posed on a sequence of Banach spaces approximating a limiting space and driven by additive white no…
math.PR2023
Multiple and weak Markov properties in Hilbert spaces with applications to fractional stochastic evolution equations
Kristin Kirchner, Joshua Willems
We define various higher-order Markov properties for stochastic processes , indexed by an interval and taking values in…