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math.PR2026
Martingale Solutions to a Stochastic Keller-Segel System with nonlocal Source and Super-linear Noise
Qian Li, Li Chen, Jinhuan Wang
Global nonnegative martingale solutions are shown to exist for a stochastic Keller-Segel system with a nonlocal Fisher-KPP source and super-linear multiplicative noise. The result…
math.PR2025
Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
This article aims at a proper definition and resolution of the parabolic Anderson model on Heisenberg groups . This stochastic PDE is understood in a pathwise (Stra…
math.PR2024
Parabolic Anderson model in bounded domains of recurrent metric measure spaces
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
A metric measure space equipped with a Dirichlet form is called recurrent if its Hausdorff dimension is less than its walk dimension. In bounded domains of such spaces we study the…