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math.PR2026
Kinetic SDEs and kinetic Fokker-Planck equations with critical Morrey-type drifts, and local blow-ups
Jean-François Jabir, Damir Kinzebulatov, Chengjun Yue
We develop a Sobolev theory for the kinetic Fokker-Planck equation subject to a singular Morrey-form force field which can produce local blow-ups due to strong att…
math.PR2026
Freidlin-Wentzell collision-laws between self-stabilizing diffusions
Jean-François Jabir, Julian Tugaut
The present work investigates the asymptotic behaviours at the zero-noise limit of the first near collision-time and first near collision-location between a pair of independent …