111 citations · 212 across the 9 of their papers we have counts for
10 papers
Quasi-stationary distributions of non-absorbing Markov chains
Roberto Fernandez, Francesco Manzo, Matteo Quattropani +1
We consider reversible ergodic Markov chains with finite state space, and we introduce a new notion of quasi-stationary distribution that does not require the presence of any absor…
A probabilistic proof of Cooper and Frieze's "First Visit Time Lemma"
Francesco Manzo, Matteo Quattropani, Elisabetta Scoppola
In this short note we present an alternative proof of the so-called First Visit Time Lemma (FVTL), originally presented by Cooper and Frieze in its first formulation in [21], and t…
Strong times and first hitting
Francesco Manzo, Elisabetta Scoppola
We generalize the notion of strong stationary time and we give a representation formula for the hitting time to a target set in the general case of non-reversible Markov processes.
Conditioned, quasi-stationary, restricted measures and escape from metastable states
Roberto Fernandez, Francesco Manzo, Francesca Nardi +2
We study the asymptotic hitting time of a family of Markov processes to a target set when the process starts from a trap defined by very general prope…
Asymptotically exponential hitting times and metastability: a pathwise approach without reversibility
R. Fernandez, F. Manzo, F. R. Nardi +1
We study the hitting times of Markov processes to target set , starting from a reference configuration or its basin of attraction. The configuration can correspond t…
Nucleation and growth for the Ising model in dimensions at very low temperatures
Raphaël Cerf, Francesco Manzo
This work extends to dimension the main result of Dehghanpour and Schonmann. We consider the stochastic Ising model on evolving with the Metropolis dynami…
A d dimensional nucleation and growth model
Raphael Cerf, Francesco Manzo
We analyze the relaxation time of a ferromagnetic d dimensional growth model on the lattice. The model is characterized by d param- eters which represent the activation energies of…
Condenser physics applied to Markov chains - A brief introduction to potential theory
A. Gaudilliere
These notes constitute the introduction to potential theory I exposed at the XIIth brazilian school of probability inside Elisabetta Scoppola's Introduction to Metastability.
Metastability in Glauber dynamics in the low-temperature limit: Beyond exponential asymptotics
Anton Bovier, Francesco Manzo
We consider Glauber dynamics of classical spin systems of Ising type in the limit when the temperature tends to zero in finite volume. We show that information on the structure of…
Geographic speciation in the Derrida-Higgs model of species formation
F Manzo, L Peliti
We consider the Derrida-Higgs (DH) statistical model of species formation in the case where the population is geographically distributed in discrete locations, and mating only take…