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A Microscopic Derivation of Coupled SPDE's with a KPZ Flavor

Ragaa Ahmed , Cedric Bernardin , Patricia Gonçalves , Marielle Simon
Annales de l'Institut Henri Poincaré, 2022, 58 (2), ⟨10.1214/21-AIHP1196⟩
Journal articles hal-02307963v1
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Uniform approximation of 2$d$ Navier-Stokes equation by stochastic interacting particle systems

Franco Flandoli , Christian Olivera , Marielle Simon
SIAM Journal on Mathematical Analysis, 2020, 52 (6), ⟨10.1137/20M1328993⟩
Journal articles hal-02529632v2
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Hydrodynamic limit for the velocity-flip model

Marielle Simon
Stochastic Processes and their Applications, 2013, ⟨10.1016/⟩
Journal articles hal-01262701v1

Crossover to the stochastic Burgers equation for the WASEP with a slow bond

Tertuliano Franco , Patricia Goncalves , Marielle Simon
Communications in Mathematical Physics, 2016, ⟨10.1007/s00220-016-2607-x⟩
Journal articles hal-01355447v1

Convergence to the Stochastic Burgers Equation from a degenerate microscopic dynamics

Oriane Blondel , Patricia Gonçalves , Marielle Simon
Electronic Journal of Probability, 2016, 21 (69), pp.25. ⟨10.1214/16-EJP15⟩
Journal articles hal-01295541v1
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Interpolation process between standard diffusion and fractional diffusion

Cédric Bernardin , Patricia Gonçalves , Milton Jara , Marielle Simon
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2018, 54 (3), pp.1731 - 1757. ⟨10.1214/17-AIHP853⟩
Journal articles hal-01348503v2
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Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP

Patricia Gonçalves , Nicolas Perkowski , Marielle Simon
Annales Henri Lebesgue, 2020, 3, ⟨10.5802/ahl.28⟩
Journal articles hal-01626604v2
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Macroscopic evolution of mechanical and thermal energy in a harmonic chain with random flip of velocities

Tomasz Komorowski , Stefano Olla , Marielle Simon
Kinetic and Related Models , 2018, 11 (3), pp.615-645. ⟨10.3934/krm.2018026⟩
Journal articles hal-01358979v3
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Stefan problem for a non-ergodic facilitated exclusion process

Oriane Blondel , Clément Erignoux , Marielle Simon
Probability and Mathematical Physics, 2021, 2 (1), ⟨10.2140/pmp.2021.2.127⟩
Journal articles hal-02482922v2

Asymmetric attractive zero-range processes with particle destruction at the origin

Clément Erignoux , Linjie Zhao , Marielle Simon
Preprints, Working Papers, ... hal-03431141v1

Second order Boltzmann-Gibbs principle for polynomial functions and applications

Patricia Gonçalves , Milton Jara , Marielle Simon
Journal of Statistical Physics, 2017, ⟨10.1007/s10955-016-1686-6⟩
Journal articles hal-01381009v1