Publications

See information on my publications here.

Submitted papers in international journals with referee:

[20.] Bernardin, C., Gonçalves, P., Jara, M.: 3/4-Fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise, online at arxiv and submitted.

Accepted papers in international journals with referee:

[19.] Franco, T., Gonçalves, P. and Neumann, A.: Occupation times of exclusion processes with conductances, accepted for publication (conditioned to corrections) in Journal of Statistical Physics and online at arxiv.

[18.] Gonçalves, P., Jara, M. and Sethuraman, S.: A stochastic Burgers equation from a class of microscopic interactions, to appear in Annals of Probability, Arxiv:1210.0017. 

[17.]  Franco, T., Gonçalves, P. and Neumann, A.: Phase transition of a Heat equation with Robin's boundary conditions and exclusion process, to appear in Transactions of the American Mathematical Society.

Published papers in international journals with referee:

[16.] Gonçalves, P. and Jara, M. (2014): Nonlinear fluctuations of weakly asymmetric interacting particle systems, Archive for Rational Mechanics and Analysis, Volume 212, Issue 2, 597-644. 

[15.] Gonçalves, P. (2014): On the asymmetric zero-range in the rarefaction fan Journal of Statistical Physics, Volume 154, Issue 4, 1074-1095.

[14.] Bernardin, C., Gonçalves, P. and Landim, C. (2014): Entropy of non-equilibrium stationary measures of boundary driven TASEP, Journal of Statistical Physics, Volume 154, Issue 1-2, 378-420.

[13.] Bernardin, C. and Gonçalves, P. (2014): Anomalous Fluctuations for an Hamiltonian system with exponential interactions, Communications in Mathematical Physics, Volume 325, Issue 1, pp 291-332.

[12.] Franco, T., Gonçalves, P. and Neumann, A. (2013): Phase transition in equilibrium fluctuations of symmetric slowed exclusion, Stochastic Processes and their Applications, 123, Issue 12, 4156–4185.

[11.] Franco, T., Gonçalves, P. and Neumann, A. (2013): Hydrodynamical behavior of symmetric exclusion with slow bonds, Annales de l'Institut Henri Poincaré: Probability and Statistics, Volume 49, Number 2, 402-427.

[10.] Gonçalves, P. and Jara, M. (2013): Scaling limits of additive functionals of interacting particle systems, Communications on Pure and Applied Mathematics, Volume 66, Issue 5, 649-677.

[9.]  Gonçalves, P. and Jara, M. (2012): Crossover to the KPZ equation, Annales Henri Poincaré, Volume 13, Number 4, 813-826.

[8.] Gonçalves, P. (2011): A hyperbolic conservation law and Particle Systems, Journal of Difference Equations and Applications, Volume 17, Issue 8, 1207-1217.

[7.] Gonçalves, P. (2010): Equilibrium Fluctuations for the Totally Asymmetric Zero-Range Process, Journal of Statistical Physics, Volume 138, nº4-5, 645 - 661.

[6.] Gonçalves, P.; Jara, M. (2009): Density Fluctuations for a zero-range process on the percolation cluster, Electronic Communications in Probability, 14, 382-395.

[5.] Gonçalves, P.; Landim, C. and Toninelli, C. (2009): Hydrodynamic Limit for a Particle System with degenerate rates, Annales de l'Institut Henri Poincaré: Probability and Statistics, Volume 45, nº4, 887-909.

[4.] Ferrari, P.; Gonçalves, P. and Martin, J. (2009): Collision probabilities in the rarefaction fan of asymmetric exclusion processes, Annales de l'Institut Henri Poincaré: Probability and Statistics, Volume 45, nº4, 1048-1064.

[3.] Gonçalves, P. and Jara, M. (2008): Scaling Limits of a Tagged Particle in the Exclusion Process with Variable Diffusion Coefficient, Journal of Statistical Physics, 132, nº6, 1135-1143.

[2.] Gonçalves, P. and Jara, M. (2008): Scaling limits for gradient systems in random environment, Journal of Statistical Physics, 131, nº4, 691-716.

[1.] Gonçalves, P. (2008): Central Limit Theorem for a Tagged Particle in Asymmetric Simple Exclusion, Stochastic Processes and their Applications, 118, 474-502.

Publications at Conference proceedings with referee:

[12.] Gonçalves, P. (2013): Exclusion and zero-range in the rarefaction fan, accepted for publication in the conference proceedings Particle Systems and Partial Differential Equations.

[11.] Bernardin, C., Gonçalves, P. and Sethuraman, S. (2013): Equilibrium fluctuations of additive functionals of zero-range models, to appear in the conference proceedings Particle Systems and Partial Differential Equations.

[10.] Franco, T., Gonçalves, P. and Neumann, A. (2013): Slowed exclusion process: hydrodynamics, fluctuations and phase transitions, 
to appear in the conference proceedings Particle Systems and Partial Differential Equations.

[9.] Franco, T., Gonçalves, P. and Neumann, A. (2013): Dynamical phase transition in slowed exclusion processes, to appear in the conference proceedings Modeling, Optimization, Dynamics and Bioeconomy.

[8.] Gonçalves, P. (2013): Occupation times of exclusion processes, to appear in the conference proceedings Modeling, Optimization, Dynamics and Bioeconomy.

[7.] Gonçalves, P. (2013): Phase transitions on the scaling limits of the symmetric slowed exclusion, European Mathematical Society - Publishing House, Report No.52/2013 of the conference "Large Scale Stochastic Dynamics" at the Mathematisches Forschungsinstitut - Oberwolfach.

[6.] Gonçalves, P. (2011): Simple Exclusion Process: from randomness to determinism, Dynamics, Games and Science I, ed. M. Peixoto, A. Pinto and D. Rand, Springer Proceedings in Mathematics, 391-404.

[5.] Gonçalves, P. (2011): Microscopic dynamics for the porous medium equation, Dynamics, Games and Science II, ed. M. Peixoto, A. Pinto and D. Rand, Springer Proceedings in Mathematics, 387-392.

[4.] Jara, M., Gonçalves, P. (2010): Universality of KPZ equation and renormalization techniques in interacting particle systems, at the Report No.50/2010 of the conference "Large Scale Stochastic Dynamics" at the Mathematisches Forschungsinstitut - Oberwolfach.

[3.] Gonçalves, P., Jara, M. (2010): The crossover to the KPZ equation, Report No.50/2010 of the conference "Large Scale Stochastic Dynamics" at the Mathematisches Forschungsinstitut - Oberwolfach.

[2.] Gonçalves, P. and Jara, M. (2010): Crossover to the KPZ equation, Conference proceedings of the "5th International Workshop on Applied Probability''.

[1.] Ferrari, P.; Gonçalves, P.; Martin, J. (2007): Second and Third Class particles in TASEP, Report No.42/2007 of the conference "Large Scale Stochastic Dynamics" at the Mathematisches Forschungsinstitut - Oberwolfach, available online at www.mfo.de (2007).


Other publications:

[2.] Gonçalves, P (2013): Funcionais aditivos de processos de exclusão, Boletim da SPM, Actas do Encontro Nacional da SPM, Faro, Julho de 2012, 163-166.

[1.] Gonçalves, P. (2009): Hydrodynamic Limit of Particle Systems, Bulletin CIM - "Centro Internacional da Matemática", nº 26, 12-18.

PhD Thesis:

Gonçalves, P. (2007): Central Limit Theorem for a Tagged Particle in Asymmetric Simple Exclusion and Hydrodynamic Limit for a Particle System with Degenerate Rates, IMPA PhD thesis (2007).

Book:

Gonçalves, P. (2010): Equilibrium Fluctuations for Totally Asymmetric Particle Systems, VDM Verlag Dr. Müller e.K., ISBN: 978-3-639-09575-3, paperback, 200 Pages.

AMS reviews: My reviews for AMS are here.




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