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math-ph2026
On some topological and spectral properties of kinetic Langevin processes driven by L{é}vy noises
T Batisse, A Guillin, B Nectoux +1
We investigate several fundamental properties of kinetic Langevin processes in , defined as solutions to the following system: $$dx\_t = v\_t \, dt, \qquad dv\_t =…
math-ph2022
Eyring-Kramers type formulas for some piecewise deterministic Markov processes
Dorian Le Peutrec, Laurent Michel, Boris Nectoux
In this work, we give sharp asymptotic equivalents in the small temperature regime of the smallest eigenvalues of the generator of some piecewise deterministic Markov processes (in…