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math.PR2024
Harmonic extension technique: probabilistic and analytic perspectives
Mateusz Kwaśnicki
Consider a path of the reflected Brownian motion in the half-plane , and erase its part contained in the interior . What is left is, in an appropriate sense…
math.PR2023
Fleming-Viot couples live forever
Mateusz Kwaśnicki
We prove a non-extinction result for Fleming-Viot-type systems of two particles with dynamics described by an arbitrary symmetric Hunt process under the assumption that the referen…