collision estimates 1freidlin-wentzell 1mc kean-vlasov 1self-stabilizing diffusions 1zero-noise limit 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.PR2026
Freidlin-Wentzell collision-laws between self-stabilizing diffusions
Jean-François Jabir, Julian Tugaut
The paper analyzes how two independent self‑stabilizing (McKean‑Vlasov) diffusions in a bistable potential collide when the driving Brownian noise becomes very small, showing that…
math.PR2025
Multi-species McKean-Vlasov dynamics in non-convex landscapes
Manh Hong Duong, Grigorios A. Pavliotis, Julian Tugaut
In this paper, we study multi-species stochastic interacting particle systems and their mean-field McKean-Vlasov partial differential equations (PDEs) in non-convex landscapes. Und…
math.PR2025
Exit-problem for a class of non-Markov processes with path dependency
Ashot Aleksian, Aline Kurtzmann, Julian Tugaut
We study the exit-time of a self-interacting diffusion from an open domain . In particular, we consider the equation $d{X_t} = - \left( \nabla V(X_t) + \fra…