3 papers
math.PR2024
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…
math.PR2024
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…
math-ph2022
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…