most citedMultidimensional Stable driven McKean-Vlasov SDEs with distributional interaction kernel -- a regularization by noise perspective

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math.PR2026

Weak error for SDEs with additive stable noise and singular drift: choose the test function in the same space as the drift!

Benjamin Jourdain, Stéphane Menozzi

We emphasize that for a stochastic differential equation with isotropic stable additive noise and non Lipschitz drift, when considering an appropriate discretization scheme and the…

math.PR2025

Strong regularization by noise for a class of kinetic SDEs driven by symmetric α-stable processes

Giacomo Lucertini, Stéphane Menozzi, Stefano Pagliarani

We establish strong well-posedness for a class of degenerate SDEs of kinetic type with autonomous diffusion driven by a symmetric -stable process under Hölder regularity condi…