147 citations · 512 across the 39 of their papers we have counts for
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Stochastic oscillators out of equilibrium: scaling limits and correlation estimates
Patrícia Gonçalves, Kohei Hayashi, João Pedro Mangi
We consider a purely harmonic chain of oscillators which is perturbed by a stochastic noise. Under this perturbation, the system exhibits two conserved quantities: the volume and t…
From ABC to KPZ
Giuseppe Cannizzaro, Patricia Gonçalves, Ricardo Misturini +1
We study the equilibrium fluctuations of an interacting particle system evolving on the discrete ring with points, denoted by , and with three species…
Derivation of anomalous behavior from interacting oscillators in the high-temperature regime
Patrícia Gonçalves, Kohei Hayashi
A microscopic model of interacting oscillators, which admits two conserved quantities, volume, and energy, is investigated. We begin with a system driven by a general nonlinear pot…
Scaling limits for Rudvalis card shuffles
P. Gonçalves, M. Jara, R. Marinho +1
We consider the Rudvalis card shuffle and some of its variations that were introduced by Diaconis and Saloff-Coste in \cite{symmetrized}, and we project them to some stochastic int…
Hydrodynamics for the ABC model with slow/fast boundary
Patricia Gonçalves, Ricardo Misturini, Alessandra Occelli
In this article, we consider the ABC model in contact with slow/fast reservoirs. In this model, there is at most one particle per site, which can be of type and par…
Derivation of the fractional porous medium equation from a microscopic dynamics
Pedro Cardoso, Renato De Paula, Patrícia Gonçalves
In this article we derive the fractional porous medium equation for any power of the fractional Laplacian as the hydrodynamic limit of a microscopic dynamics of random particles wi…