413 citations · 846 across the 27 of their papers we have counts for
13 papers · 1 filter
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…
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…
Density-Profile Processes Describing Biological Signaling Networks: Almost Sure Convergence to Deterministic Trajectories
Roberto Fernández, Luiz Renato Fontes, E. Jordão Neves
We introduce jump processes in R^k, called density-profile process, to model biological signaling networks. They describe the macroscopic evolution of finite-size spin-flip models…
Uniqueness and non-uniqueness of chains on half lines
R. Fernandez, G. Maillard
We establish a one-to-one correspondence between one-sided and two-sided regular systems of conditional probabilities on the half-line that preserves the associated chains and Gibb…
How to clean a dirty floor: Probabilistic potential theory and the Dobrushin uniqueness theorem
Thierry de la Rue, Roberto Fernandez, Alan D. Sokal
Motivated by the Dobrushin uniqueness theorem in statistical mechanics, we consider the following situation: Let αbe a nonnegative matrix over a finite or countably infinite index…