Papers

• D. Erhard, T. Franco, P. Gonçalves, A. Neumann and M. Tavares. Non-equilibrium fluctuations for the SSEP with a slow bond.
  Ann. Inst. H. Poincaré Probab. Statist. Volume 56, Number 2, pages 1099-1128, 2020.
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• T. Franco and M. Tavares. Hydrodynamic Limit for the SSEP with a Slow Membrane.
  Journal of Statistical Physics, Vol. 175, Issue 2, pages 233--268, 2019.
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• T. Franco, P. Gonçalves, A. Neumann. Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion.
  Stochastic Processes and their Applications, Vol. 129, Issue 4, pages 1413--1442, 2019.
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• T. Franco, A. Neumann. Large deviations for the exclusion process with a slow bond.
  Annals of Applied Probability Vol. 27, No. 6, 3547--3587, 2017.
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• T. Franco, Phase transition in the KMP model with slow/fast boundaries.
  Markov Processes and Related Fields, Volume 23, 171--186, 2017.
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• T. Franco, P. Gonçalves, M. Simon, Crossover to the stochastic Burgers equation for the WASEP with a slow bond.
  Communications in Mathematical Physics, on-line, 2016.
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• T. Franco, P. Gonçalves, Gunter M. Schutz, Scaling limits for the exclusion process with a slow site.
  Stochastic Processes and their Applications, Available online 13 October 2015, ISSN 0304-4149, http://dx.doi.org/10.1016/j.spa.2015.09.019.
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• L. Avena, T. Franco, M. Jara, F. Völlering. Symmetric exclusion as a random environment: hydrodynamic limits.
  Ann. Inst. H. Poincaré Probab. Statist. Volume 51, Number 3 (2015), 901-916.
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• T. Franco, P. Gonçalves, A.Neumann. Occupation time of exclusion processes with conductances.
  Journal of Statistical Physics, Volume 156, Issue 5 (2014), Page 975-997.
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• T. Franco, J. Haddad. Continuous dependence on the derivative of generalized heat equations.
  Differential and Integral Equations, Volume 28, Numbers 1-2 (2015), 59-78.
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• T. Franco. Interacting particle systems: hydrodynamic limit versus high density limit. From Particle Systems to Partial Differential Equations. Springer Proceedings in Mathematics & Statistics Volume 75, 2014, pp 179-189.
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• T. Franco, P. Gonçalves, A. Neumann. Slowed exclusion process: hydrodynamics, fluctuations and phase transitions. From Particle Systems to Partial Differential Equations. Springer Proceedings in Mathematics & Statistics Volume 75, 2014, pp 191-205.
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• Lucas Melo, Messias Bittencourt, Gustavo Figueiredo, Tertuliano Franco. Seleção de paradigmas em redes ópticas híbridas integradas. Aceito para publicação no 31º Simpósio Brasileiro de Redes de Computadores e Sistemas Distribuídos, 2013.
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• Franco, T., Gonçalves, P. and Neumann, A.: Dynamical phase transition in slowed exclusion processes. Modeling, Dynamics, Optimization and Bioeconomics I. Springer Proceedings in Mathematics & Statistics Volume 73, 2014, pp 269-278.
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• T. Franco, P. Gonçalves, A.Neumann. Phase Transition of a Heat Equation with Robin's Boundary Conditions and Exclusion Process.
  Transactions of the American Mathematical Society, December 3, 2014.
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• T. Franco, P. Gonçalves, A.Neumann. Phase transition in equilibrium fluctuations of symmetric slowed exclusion.
  Stochastic Processes and their Applications, Volume 123, Issue 12, December 2013, Pages 4156-4185.
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• T. Franco, P. Groisman. A Particle System with Explosions: Law of Large Numbers for the Density of Particles and the Blow-up Time. Journal of Statistical Physics, 2012.
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• T. Franco, A. Neumann, P. Gonçalves. Hydrodynamical Behavior of Symmetric Exclusion with Slow Bonds.
  Annales de l'Institut Henri Poincaré, 2011.
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• T. Franco, A. Neumann, G. Valle. Hydrodynamic Limit for a Class of Exclusion Type Process in Dimension ≥ 2.
  Journal of Applied Probability, 49.2, p.333-351, 2011
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• M. Cicconet, T. Franco and P. Carvalho. Plane Tessellation with Musical Scale Tiles and Bidimensional Automatic Composition.
  Proceedings of the International Computer Music Conference. New York, 2010.
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• T. Franco, C. Landim, Hydrodynamic Limit of Gradient Exclusion Processes with Conductances.
  Archive for Rational Mechanics and Analysis, v.195, p.409 - 439, 2010.
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