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The Invariant Measure of Multiscale Markov Chains via Fast Arborescence Factorization
Diego Alberici, Davide Gabrielli, Giulia Pallotta
We consider a family of continuous-time Markov chains with finite strongly connected transition graph and rates depending on a parameter , so that, when…
Freidlin-Wentzell solutions of discrete Hamilton Jacobi equations
Michele Aleandri, Davide Gabrielli, Giulia Pallotta
We consider a sequence of finite irreducible Markov chains with exponentially small transition rates: the transition graph is a fixed, finite, strongly connected directed graph; th…
A combinatorial representation for the invariant measure of diffusion processes on metric graphs
Michele Aleandri, Matteo Colangeli, Davide Gabrielli
We give a generalization to a continuous setting of the classic Markov chain tree Theorem. In particular, we consider an irreducible diffusion process on a metric graph. The unique…