activity
20062025
most citedNonlinear fluctuations of weakly asymmetric interacting particle systems

147 citations · 512 across the 39 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.PR2022

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…

math.PR2022

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…

math.PR2022★ 2 cited

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…

math.PR2022★ 5 cited

Hydrodynamical behavior for the generalized symmetric exclusion with open boundary

Chiara Franceschini, Patrícia Gonçalves, Beatriz Salvador

We analyze the generalized symmetric exclusion process, which allows at most particles per site, and we put it in contact with stochastic reservoirs whose strength is regulated…

math.PR2022

Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps

Cédric Bernardin, Patricia Gonçalves, Byron Oviedo-Jiménez +1

We consider the zero-range process with long jumps and in contact with infinitely many reservoirs in its non-equilibrium stationary state. We derive the hydrostatic limit and the F…