25 citations · 54 across the 4 of their papers we have counts for
4 papers
Local Central Limit Theorem for unbounded long-range potentials
Eric O. Endo, Roberto Fernández, Vlad Margarint +1
We prove the equivalence between the integral central limit theorem and the local central limit theorem for two-body potentials with long-range interactions on the lattice $\mathbb…
Variational description of Gibbs-non-Gibbs dynamical transitions for spin-flip systems with a Kac-type interaction
Roberto Fernández, Frank den Hollander, Julián Martínez
We continue our study of Gibbs-non-Gibbs dynamical transitions. In the present paper we consider a system of Ising spins on a large discrete torus with a Kac-type interaction subje…
Variational description of Gibbs-non-Gibbs dynamical transitions for the Curie-Weiss model
Roberto Fernández, Frank den Hollander, Julián Martínez
We perform a detailed study of Gibbs-non-Gibbs transitions for the Curie-Weiss model subject to independent spin-flip dynamics ("infinite-temperature" dynamics). We show that, in t…
Abrupt Convergence and Escape Behavior for Birth and Death Chains
Javiera Barrera, Olivier Bertoncini, Roberto Fernández
We link two phenomena concerning the asymptotical behavior of stochastic processes: (i) abrupt convergence or cut-off phenomenon, and (ii) the escape behavior usually associated to…