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Eyring-Kramers law for Fokker-Planck type differential operators
Jean-Francois Bony, Dorian Le Peutrec, Laurent Michel
We consider Fokker-Planck type differential operators associated with general Langevin processes admitting a Gibbs stationary distribution. Under assumptions insuring suitable reso…
math.AP2011
Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex
Dorian Le Peutrec, Francis Nier, Claude Viterbo
Accurate asymptotic expressions are given for the exponentially small eigenvalues of Witten Laplacians acting on p-forms. The key ingredient, which replaces explicit formulas for g…