Cardoso, P, Gonçalves, P., Nahum, G. (2024): Derivation of non-polynomial fractional diffusions from the generalized exclusion with a slow barrier, submitted.
Cardoso, P, Gonçalves, P. (2024): Regional Fractional Stochastic Burgers from random interactions, submitted.
Cardoso, P., Gonçalves, P., Jimenez-Oviedo, B. (2023): Hydrodynamics of a d-dimensional long jumps symmetric exclusion with a slow barrier, accepted for publication in AIHP, Prob & Stats.
Cardoso, P., Gonçalves, P., Jiménez-Oviedo, B. (2024): Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: superdiffusive regime, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. (5), Vol. XXV,1813-1876.
Cardoso, P., Gonçalves, P., Jiménez-Oviedo, B. (2024): Hydrodynamic behavior of long-range symmetric exclusion with a slow barrier: diffusive regime, AIHP, Prob & Stats, Volume 60, no. 3, 1511-1542.
Cardoso, P., Gonçalves, P., Jimenez-Oviedo, B. (2023): Diffusive fluctuations of long-range symmetric exclusion with a slow barrier, Stochastic Processes and their Applications, Volume 166, 47 pages.
Bernardin, C., Cardoso, P., Gonçalves, P., Scotta, S. (2023): Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion, Stochastic Processes and their Applications, Volume 165, 43-95.
Cardoso, P., De Paula, R., Gonçalves, P. (2023): Derivation of the fractional porous medium equation from a microscopic dynamic, Nonlinearity, Volume 36, number 3, 1840–1872
Cardoso, P., Gonçalves, P.: Linear and Nonlinear Fractional PDEs from interacting particle systems, to be included in the manuscript "Proceedings of the first Brazil-Portugal joint meeting in Mathematics (August 14-20, 2022, Universidade Federal da Bahia)"