Publications

See information on my publications here.

Papers in preparation:

[29.] Franco, T., Gonçalves, P., Neumann, A.: Stationary fluctuations for exclusion processes with slow boundaries.

[28.] Gonçalves, P., Landim, C., Milanes, A.: Stationary fluctuations of one-dimensional boundary driven weakly asymmetric exclusion processes.

Submitted papers in international journals with referee:

[27.] Franco, T., Gonçalves, P. and Simon, M.: Crossover fluctuations of the WASEP with a slow bond, online at arxiv and submitted.

[26.] Gonçalves, P., Landim, C., Milanes, A.: Nonequilibrium fluctuations of one-dimensional boundary driven weakly asymmetric exclusion processes, online at arxiv and submitted.

[25.] Gonçalves, P., Jara, M.: Density fluctuations for exclusion processes with long jumps, online at arxiv and submitted.

[24.] Franco, T., Gonçalves, P. and Schutz, G.: Hydrodynamic limit for the exclusion  process with a slow site, online at arxiv and submitted.

Accepted papers in international journals with referee:

[23.] Bernardin, C., Gonçalves, P. and Sethuraman, S.: Occupation times of long-range exclusion and connections to KPZ class exponents, accepted for publication in Probability Theory and Related Fields and online at arxiv.

[22.] Bernardin, C., Gonçalves, P. and Jara, M.: 3/4-Fractional superdiffusion in a system of harmonic oscillators perturbed by a conservative noise, accepted for publication in Archive for Rational Mechanics and Analysis and online at arxiv.

Published papers in international journals with referee:

[21.]  Franco, T., Gonçalves, P. and Neumann, A. (2015): Phase transition of a Heat equation with Robin's boundary conditions and exclusion processTransactions of the American Mathematical Society, Volume 367, Issue 9, 6131-6158.

[20.] Bernardin, C., Gonçalves, P., Jara, M., Sasada, M., Simon, M. (2015): From normal diffusion to superdiffusion of energy in the evanescent flip noise limit, Journal of Statistical Physics, Volume 159, Issue 6, 1327-1368.

[19.] Gonçalves, P. and Jara, M. (2015): The Einstein relation for the KPZ equation, Journal of Statistical Physics, volume 158, Issue 6, 1262-1270.

[18.] Gonçalves, P., Jara, M. and Sethuraman, S. (2015): A stochastic Burgers equation from a class of microscopic interactions, Annals of Probability, volume 43, Issue 1, 286-338. 

[17.] Franco, T., Gonçalves, P. and Neumann, A. (2014): Occupation times of exclusion processes with conductances, Journal of Statistical Physics, volume 156, Issue 5, 975-997.

[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.

The journals at which I have published papers are:

         

 


                                                
Publications at Conference proceedings with referee:

[6.] Gonçalves, P. Derivation of the KPZ equation from particle systems, European Mathematical Society - Publishing House, Report No.55/2014 of the conference "KPZ equation:: around its universality class" at the Mathematisches Forschungsinstitut - Oberwolfach.

[5.] Gonçalves, P. (2014): 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.

[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).

Book Chapters:


[9.] Gonçalves P. and Simon, M.(2015): Second order Boltzmann-Gibbs Principle for polynomial functions and applications, submitted for publication in Particle Systems and Partial Differential Equations III, ed. A. J. Soares and P. Gonçalves, Springer Proceedings in Mathematics & Statistics.

[8.] Gonçalves, P. (2015): Derivation of the Stochastic Burgers Equation from the WASEP,  
Particle Systems and Partial Differential Equations II, ed. A. J. Soares and P. Gonçalves, Springer Proceedings in Mathematics & Statistics,
 Volume 129, pp 209-229.

[7.] Gonçalves, P. (2014): Exclusion and zero-range in the rarefaction fan, Particle Systems and Partial Differential Equations, ed. C. Bernardin and P. Gonçalves, Springer Proceedings in Mathematics & Statistics Volume 75, 2014, pp 207-224.

[6.] Bernardin, C., Gonçalves, P. and Sethuraman, S. (2014): Equilibrium fluctuations of additive functionals of zero-range models,

Particle Systems and Partial Differential Equations, ed. C. Bernardin and P. Gonçalves, Springer Proceedings in Mathematics & Statistics Volume 75, 2014, pp 143-160.

[5.] Franco, T., Gonçalves, P. and Neumann, A. (2014): Slowed exclusion process: hydrodynamics, fluctuations and phase transitions Particle Systems and Partial Differential Equations, ed. C. Bernardin and P. Gonçalves, Springer Proceedings in Mathematics & Statistics Volume 75, 2014, pp 191-205.

[4.] Franco, T., Gonçalves, P. and Neumann, A. (2014): Dynamical phase transition in slowed exclusion processes,
Modeling, Dynamics, Optimization and Bioeconomics I, Springer Proceedings in Mathematics & Statistics Volume 73, 2014, pp 269-278.

[3.] Gonçalves, P. (2014): Occupation times of exclusion processes,
Modeling, Dynamics, Optimization and Bioeconomics I, Springer Proceedings in Mathematics & Statistics Volume 73, 2014, pp 329-341.

[2.] 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.

[1.] 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.


Other publications:

[4.]  Gonçalves, P. e Oviedo, B.  (2015): Processo de exclusão simples e a equação do calor, submetido para publicação.

[3.] Brito, I., Gonçalves, P. e Ramos. P.  (2015): O risco na atividade seguradora, submetido para publicação.

[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).

Books:

[2.] Brito, I. and Gonçalves, P. (2015): "Introdução à Teoria do Risco", online at http://hdl.handle.net/1822/35761.

[1.] 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.

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AMS reviews: My reviews for AMS are here.



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