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math.PR2023★ 1 cited
On pairs of complementary transmission conditions and on approximation of skew Brownian motion by snapping-out Brownian motions
Adam Bobrowski, Elżbieta Ratajczyk
Following our previous work on `perpendicular' boundary conditions, we show that transmission conditions \[ f'(0-)=α(f(0+)-f(0-)), \quad f'(0+)=β(f(0+)-f(0-)),\] describing so-call…
math.PR2022★ 2 cited
Concatenation of dishonest Feller processes, exit laws, and limit theorems on graphs
Adam Bobrowski
We provide a rather explicit formula for the resolvent of a~concatenation of processes in terms of their exit laws and certain probability measures characterizing the way the p…