3 citations · 7 across the 9 of their papers we have counts for
10 papers
Equilibrium fluctuations for a multi-species particle system with long jumps
Giuseppe Cannizzaro, Pedro Cardoso, Lukas Gräfner +1
In the present paper, we study the equilibrium fluctuations of a particle system in infinite volume with two conserved quantities and long-range dependence. More specifically, the…
Derivation of non-polynomial fractional diffusions from the generalized exclusion with a slow barrier
Pedro Cardoso, Patrícia Gonçalves, Gabriel Nahum
In this article we derive in the hydrodynamic limit a generalized fractional porous medium equation, in the sense that the regional fractional Laplacian is applied to a function of…
Regional Fractional Stochastic Burgers from random interactions
Pedro Cardoso, Patrícia Gonçalves
The purpose of this article is to derive the crossover from the Ornstein-Uhlenbeck process to energy solutions of the stochastic Burgers equation with characteristic operators give…
Linear and Nonlinear Fractional PDEs from interacting particle systems
Pedro Cardoso, Patrícia Gonçalves
In these notes, we describe the strategy for the derivation of the hydrodynamic limit for a family of long range interacting particle systems of exclusion type with symmetric rates…
Hydrodynamics of a -dimensional long jumps symmetric exclusion with a slow barrier
Pedro Cardoso, Patrícia Gonçalves, Byron Jiménez-Oviedo
We obtain the hydrodynamic limit of symmetric long-jumps exclusion in (for ), where the jump rate is inversely proportional to a power of the jump's length…
Diffusive fluctuations of long-range symmetric exclusion with a slow barrier
Pedro Cardoso, Patrícia GonÇAlves, Byron JimÉnez-Oviedo
In this article we obtain the equilibrium fluctuations of a symmetric exclusion process in with long jumps. The transition probability of the jump from to is p…
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…
Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: superdiffusive regime
Pedro Cardoso, Patrícia Gonçalves, Byron Jiménez-Oviedo
We analyse the hydrodynamical behavior of the long jumps symmetric exclusion process in the presence of a slow barrier. The jump rates are given by a symmetric transition probabili…
Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: diffusive regime
Pedro Cardoso, Patrícia Gonçalves, Byron Jiménez-Oviedo
In this article we analyse the hydrodynamical behavior of the symmetric exclusion process with long jumps and in the presence of a slow barrier. The jump rates for fast bonds are g…
Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion
Cédric Bernardin, Pedro Cardoso, Patricia Gonçalves +1
We study the hydrodynamic limit for a model of symmetric exclusion processes with heavy-tailed long jumps and in contact with infinitely extended reservoirs. We show how the corres…