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.

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

Submitted papers in international journals with referee:

[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 ARMA and online at arxiv.

[21.] Bernardin, C., Gonçalves, P., Jara, M., Sasada, M., Simon, M.: From normal diffusion to superdiffusion of energy in the evanescent flip noise limit, accepted for publication in Journal of Statistical Physics and online at arxiv.

[20.]  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:

[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:

[8.] Gonçalves, P. (2014): Derivation of the Stochastic Burgers Equation from the WASEP, accepted for publication in 
Particle Systems and Partial Differential Equations II, ed. A. J. Soares and P. Gonçalves, Springer Proceedings in Mathematics & Statistics.

[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:

[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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