68 citations · 529 across the 37 of their papers we have counts for
12 papers · 1 filter
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…
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…
Wasserstein Asymptotics for Brownian Motion on the Flat Torus and Brownian Interlacements
Mauro Mariani, Dario Trevisan
We study the large time behavior of the optimal transportation cost towards the uniform distribution, for the occupation measure of a stationary Brownian motion on the flat torus i…
Metastability between the clicks of Muller's ratchet
Mauro Mariani, Etienne Pardoux, Aurélien Velleret
We prove the existence and uniqueness of a quasi-stationary distribution for three stochastic processes derived from the model of Muller's ratchet. This model was invented with the…
Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes
C. Landim, M. Mariani, I. Seo
We present two variational formulae for the capacity in the context of non-selfadjoint elliptic operators. The minimizers of these variational problems are expressed as solutions o…
Full metastable asymptotic of the Fisher information
Giacomo Di Gesù, Mauro Mariani
We establish an expansion by Gamma-convergence of the Fisher information relative to the reference measure exp(-beta V), where V is a generic multiwell potential and beta goes to i…