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math.PR2026
Perturbing Walsh's spider process by infinitesimal drifts
Adam Bobrowski, Andrey Pilipenko, Elżbieta Ratajczyk
We consider Walsh's process on a star graph perturbed by the fact that its paths need to additionally pass through semi-permeable soft membranes, each located on a different edge a…
math.PR2026
On Portenko's approximation of skew Brownian motion
Adam Bobrowski, Andrey Pilipenko
From the perspective of the theory of operator semigroups, we reflect back on the classical theorem of Portenko devoted to approximation of skew Brownian motion. The theorem says t…