Preprints

• Heat flow in a periodically forced, unpinned thermostatted chain.
  T. Komorowski, S. Olla and M. Simon. ArXiv:2406.11408


• Microscopic derivation of non-local models with anomalous diffusions from stochastic particle systems.
  C. Oliveira and M. Simon. ArXiv:2404.03772


• Hydrodynamic limit for an open facilitated exclusion process with slow and fast boundaries.
  H. Da Cunha, C. Erignoux and M. Simon. ArXiv:2401.16535


• From exclusion to slow and fast diffusion.
  P. Gonçalves, G. Nahum and M. Simon. ArXiv:2301.06585


• Weakly asymmetric facilitated exclusion process.
  G. Barraquand, O. Blondel and M. Simon. ArXiv:2301.04689

Publications

• Hydrodynamic behavior near dynamical criticality of a facilitated conservative lattice gas.
  C. Erignoux, A. Roget, A. Shapira and M. Simon.
  Phys. Rev. E, 110, L032101 (3 Sept 2024). PDF


• Mapping hydrodynamics for the facilitated exclusion and zero-range processes.
  C. Erignoux, M. Simon and L. Zhao.
  Annals of Applied Probability, Vol. 34, No. 1B, 1524-1570 (2024). PDF
  


• Asymmetric attractive zero-range processes with particle destruction at the origin.
  C. Erignoux, M. Simon and L. Zhao.
  Stochastic Processes and Applications, 159:1-33 (2023). PDF


• On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations.
  T. Komorowski, J. Lebowitz, S. Olla, M. Simon.
  Ensaios Matemáticos, volume dedicated to E. Presutti 80th birthday, 38:325-341 (2023). PDF


• A microscopic derivation of coupled SPDE's with a KPZ flavor.
  R. Ahmed, C. Bernardin P. Gonçalves and M. Simon.
  Ann. Inst. H. Poincaré Probab. Statist. 58(2): 890-915 (May 2022). PDF


• Hydrodynamic limit for a chain with thermal and mechanical boundary forces.
  T. Komorowski, S. Olla and M. Simon.
  Electron. J. Probab. 26, 1-49 (2021). PDF


• Stefan problem for a non-ergodic facilitated exclusion process.
  O. Blondel, C. Erignoux and M. Simon.
  Probability and Mathematical Physics 2-1, 127-178 (2021). PDF


• Uniform approximation of 2d Navier-Stokes equation by stochastic interacting particle systems.
  F. Flandoli, C. Olivera and M. Simon.
  SIAM J. Math. Anal. 52, No. 6, 5339-5362 (2020). PDF


• An open microscopic model of heat conduction: evolution and non-equilibrium stationary states.
  T. Komorowski, S. Olla and M. Simon.
  Communications in Mathematical Sciences 3, No. 18, 751-780 (2020). PDF


• Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP.
  P. Gonçalves, N. Perkowski and M. Simon.
  Annales de l'Institut Henri Lebesgue 3, 87-167 (2020). PDF


• Hydrodynamic limit for a facilitated exclusion process.
  O. Blondel, C. Erignoux, M. Sasada and M. Simon.
  Ann. Inst. H. Poincaré Probab. Statist. 56, No. 1, 667-714 (2020). PDF


• Equilibrium fluctuations for the disordered harmonic chain perturbed by an energy conserving noise.
  C. Erignoux and M. Simon.
  Electron. J. Probab. 24, No. 143, 52 pp. (2019). PDF


• Nonlinear perturbation of a noisy hamiltonian lattice field model: universality persistence.
  C. Bernardin, P. Gonçalves, M. Jara and M. Simon.
  Communications in Mathematical Physics 361, No. 2, 605-659 (2018). PDF


• Interpolation process between standard diffusion and fractional diffusion.
  C. Bernardin, P. Gonçalves, M. Jara and M. Simon.
  Ann. Inst. H. Poincaré Probab. Statist. 54, No. 3, 1731-1757 (2018). PDF


• Macroscopic evolution of mechanical and thermal energy in a harmonic chain with random flip of velocities.
  T. Komorowski, S. Olla and M. Simon.
  Kinetic and Related Models 11, No. 3, 615-645 (2018). PDF


• Non-local conservation law from stochastic particle systems.
  C. Olivera and M. Simon.
  J. Dyn Diff Equat. 30, 1661-1682 (2017). PDF


• Second order Boltzmann-Gibbs principle for polynomial functions and applications.
  P. Gonçalves, M. Jara and M. Simon.
  Journal of Statistical Physics 166, No. 1, 90-113 (2017). PDF


• Convergence to the stochastic Burgers equation from a degenerate microscopic dynamics.
  O. Blondel, P. Gonçalves and M. Simon.
  Electronic Journal of Probability. 21: 1-25 (2016). PDF


• Crossover to the stochastic Burgers equation for the WASEP with a slow bond.
  T. Franco, P. Gonçalves and M. Simon.
  Communications in Mathematical Physics. 346, No. 3, 801-838 (2016). PDF


• From normal diffusion to superdiffusion of energy in the evanescent flip noise limit.
  C. Bernardin, P. Gonçalves, M. Jara, M. Sasada and M. Simon.
  Journal of Statistical Physics. 159, No. 6, 1327-1368 (2015). PDF


• Microscopic derivation of an adiabatic thermodynamic transformation.
  S. Olla and M. Simon.
  Brazilian Journal of Probability and Statistics. 29, No. 2, 540-564 (2015). PDF


• Hydrodynamic limits for the velocity-flip model.
  M. Simon.
  Stochastic Processes and their Appl. 123, 3623-3662 (2013). PDF and Erratum