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math.PR2026
-cut-off phenomenon for Galerkin projections of Fokker-Planck equations with monomial potentials
Benny Avelin, Gerardo Barrera
In this manuscript, we establish the existence/non-existence of the cut-off phenomenon for the Langevin--Kolmogorov random dynamics with monomial convex potentials, possible singul…
math.PR2024
Gradual convergence for Langevin dynamics on a degenerate potential
Gerardo Barrera, Conrado da Costa, Milton Jara
In this paper, we study an ordinary differential equation with a degenerate global attractor at the origin, to which we add a white noise with a small parameter that regulates its…