Stefan problem for a nonergodic facilitated exclusion process

Autor: Clément Erignoux, Oriane Blondel, Marielle Simon

Publikováno v: Probability and Mathematical Physics
Probability and Mathematical Physics, MSP, 2021, 2 (1), ⟨10.2140/pmp.2021.2.127⟩
Probability and Mathematical Physics, 2021, 2 (1), ⟨10.2140/pmp.2021.2.127⟩

International audience; We consider the facilitated exclusion process, which is a non-ergodic, kinetically constrained exclusion process. We show that in the hydrodynamic limit, its macroscopic behavior is governed by a free boundary problem. The par

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eaace40ec635381a443ae775364654ba
https://doi.org/10.2140/pmp.2021.2.127

Random walk on random walks: low densities

Autor: Augusto Teixeira, Marcelo R. Hilario, Oriane Blondel, Vladas Sidoravicius, Renato Soares dos Santos

Publikováno v: Annals of Applied Probability
Annals of Applied Probability, Institute of Mathematical Statistics (IMS), In press
Annals of Applied Probability, 2020, 30 (4), pp.1614-1641. ⟨10.1214/19-AAP1537⟩
Ann. Appl. Probab. 30, no. 4 (2020), 1614-1641

We consider a random walker in a dynamic random environment given by a system of independent simple symmetric random walks. We obtain ballisticity results under two types of perturbations: low particle density, and strong local drift on particles. Su

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22b8cd9ce9815cfdee27f70cfdbb7390
https://hal.archives-ouvertes.fr/hal-01616296

Convergence of a Degenerate Microscopic Dynamics to the Porous Medium Equation

Autor: Oriane Blondel, Clément Cancès, Makiko Sasada, Marielle Simon

Publikováno v: Annales de l'Institut Fourier
In press
inPress
HAL

We derive the porous medium equation from an interacting particle system which belongs to the family of exclusion processes, with nearest neighbor exchanges. The particles follow a degenerate dynamics, in the sense that the jump rates can vanish for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::862cc4addeac41e098e4f15e311b87af
https://hal.archives-ouvertes.fr/hal-01710628v3/file/PME_BlondelCancesSasadaSimon-corrections.pdf

Hydrodynamic limit for a facilitated exclusion process

Autor: Marielle Simon, Makiko Sasada, Oriane Blondel, Clément Erignoux

Publikováno v: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2020, 56 (1), pp.667-714. ⟨10.1214/19-AIHP977⟩
Ann. Inst. H. Poincaré Probab. Statist. 56, no. 1 (2020), 667-714
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, Institut Henri Poincaré (IHP), 2020, 56 (1), pp.667-714. ⟨10.1214/19-AIHP977⟩

We study the hydrodynamic limit for a periodic $1$-dimensional exclusion process with a dynamical constraint, which prevents a particle at site $x$ from jumping to site $x\pm1$ unless site $x\mp1$ is occupied. This process with degenerate jump rates

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http://arxiv.org/abs/1805.09000

Random walk on random walks: higher dimensions

Autor: Augusto Teixeira, Renato Soares dos Santos, Marcelo R. Hilario, Vladas Sidoravicius, Oriane Blondel

Publikováno v: Electronic Journal of Probability
Electronic Journal of Probability, 2019, 24, ⟨10.1214/19-EJP337⟩
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2019, 24
Electron. J. Probab.

We study the evolution of a random walker on a conservative dynamic random environment composed of independent particles performing simple symmetric random walks, generalizing results of [16] to higher dimensions and more general transition kernels w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9723975bfddd1493ee444a4335245fa