3 papers
math.PR2026
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…
math.PR2024
Derivation of non-polynomial fractional diffusions from the generalized exclusion with a slow barrier
Pedro Cardoso, PatrÃcia 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, PatrÃcia 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…