413 citations · 846 across the 27 of their papers we have counts for
27 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…
High-temperature cluster expansion for classical and quantum spin lattice systems with multi-body interactions
Nguyen Tong Xuan, Roberto Fernandez
We develop a novel cluster expansion for finite-spin lattice systems subject to multi-body quantum -- and, in particular, classical -- interactions. Our approach is based on the us…
Convergence of cluster and virial expansions for repulsive classical gases
Roberto Fernández, Nguyen Tong Xuan
We study the convergence of cluster and virial expansions for systems of particles subject to positive two-body interactions. Our results strengthen and generalize existing lower b…
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…
Partially ordered models
Vincent Deveaux, Roberto Fernandez
We provide a formal definition and study the basic properties of partially ordered chains (POC). These systems were proposed to model textures in image processing and to represent…