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math.PR2025
The Gamma Expansion of the Level Two Large Deviation Rate Functional for Reversible Diffusion Processes
Claudio Landim, Jungkyoung Lee, Mauro Mariani
Fix a smooth Morse function with finitely many critical points, and consider the solution of the stochastic differential equation \[ d\boldsym…
math.PR2024
Asymptotic Properties of Random Homology Induced by Diffusion Processes
Artem Galkin, Mauro Mariani
We investigate the asymptotic behavior, in the long time limit, of the random homology associated to realizations of stochastic diffusion processes on a compact Riemannian manifold…