32 citations · 76 across the 8 of their papers we have counts for
8 papers
Lack of phase transitions in staggered magnetic systems. A comparison of uniqueness criteria
Roberto Fernández, Manuel González-Navarrete, Eugene Pechersky +1
We study a ferromagnetic Ising model with a staggered cell-board magnetic field previously proposed for image processing [Maruani et al., Markov Processes Relat. Fields 1 (1995) \c…
Stability of gas measures under perturbations and discretizations
Roberto Fernández, Pablo Groisman, Santiago Saglietti
For a general class of gas models ---which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles--- we determine a \emph{diluteness condition} th…
Thin film instability with thermal noise
Javier A. Diez, Alejandro G. González, Roberto Fernández
We study the effects of stochastic thermal fluctuations on the instability of the free surface of a flat liquid film upon a solid substrate. These fluctuations are represented as a…
Regular -measures are not always Gibbsian
Roberto Fernández, Sandro Gallo, Grégory Maillard
Regular -measures are discrete-time processes determined by conditional expectations with respect to the past. One-dimensional Gibbs measures, on the other hand, are fields dete…
A large-deviation view on dynamical Gibbs-non-Gibbs transitions
Aernout van Enter, Roberto Fernández, Frank den Hollander +1
We develop a space-time large-deviation point of view on Gibbs-non-Gibbs transitions in spin systems subject to a stochastic spin-flip dynamics. Using the general theory for large…
Decay of correlations for non Hölderian dynamics. A coupling approach
Xavier Bressaud, Roberto Fernández, Antonio Galves
We present an upper bound on the mixing rate of the equilibrium state of a dynamical systems defined by the one-sided shift and a non Hölder potential of summable variations. The b…