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math.AP2023
Beurling-Deny formula for Sobolev-Bregman forms
Michał Gutowski, Mateusz Kwaśnicki
For an arbitrary regular Dirichlet form and the associated symmetric Markovian semigroup , we consider the corresponding Sobolev-Bregman form $\mathscr{E}_p(u) =…
math.AP2023
Simplicity of eigenvalues of the fractional Laplace operator in an interval
Mateusz Kwaśnicki
We give a short proof of simplicity of the eigenvalues of the fractional Laplace operator in an interval, a result shown recently by Fall, Ghimenti, Micheletti and Pistoia [Calc. V…
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…