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math.PR2022
A Kramers' type law for the first collision-time of two self-stabilizing diffusions and of their particle approximations
Jean-Francois Jabir, Julian Tugaut
The present work investigates the asymptotic behaviors, at the zero-noise limit, of the first collision-time and first collision-location related to a pair of self-stabilizing diff…
math.AP2022★ 2 cited
Multidimensional Stable driven McKean-Vlasov SDEs with distributional interaction kernel -- a regularization by noise perspective
P. -E Chaudru de Raynal, J. -F Jabir, S Menozzi
We are interested in establishing weak and strong well-posedness for McKean-Vlasov SDEs with additive stable noise and a convolution type non-linear drift with singular interaction…