413 citations · 846 across the 27 of their papers we have counts for
5 papers · 1 filter
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…
The analyticity region of the hard sphere gas. Improved bounds
Roberto Fernandez, Aldo Procacci, Benedetto Scoppola
We find an improved estimate of the radius of analyticity of the pressure of the hard-sphere gas in dimensions. The estimates are determined by the volume of multidimensional r…
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…
Regions without complex zeros for chromatic polynomials on graphs with bounded degree
Roberto Fernandez, Aldo Procacci
We prove that the chromatic polynomial of a finite graph of maximal degree $\D$ is free of zeros for $\card q\ge C^*(\D)$ with $$ C^*(\D) = \min_{0<x…