Equilibrium fluctuations for diffusive symmetric exclusion with long jumps and infinitely extended reservoirs-Reference-Cited by-同舟云学术

Equilibrium fluctuations for diffusive symmetric exclusion with long jumps and infinitely extended reservoirs

Published:2022-02-01 Issue:1 Volume:58 Page:
ISSN:0246-0203
Container-title:Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
language:
Short-container-title:Ann. Inst. H. Poincaré Probab. Statist.

Author:

Bernardin C.¹,Gonçalves P.²,Jara M.³,Scotta S.²

Affiliation:

1. Université Côte d’Azur, CNRS, LJAD, Parc Valrose, 06108 Nice Cedex 02, France

2. Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

3. IMPA, Estrada Dona Castorina 110, CEP 22460 Rio de Janeiro, Brasil

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference27 articles.

1. E. Andjel and C. Kipnis. Derivation of the hydrodynamical equation for the zero-range interaction process. Ann. Probab. 12 (2) (1984) 325–334.

2. R. Baldasso, O. Menezes, A. Neumann and R. Souza. Exclusion process with slow boundary. J. Stat. Phys. 167 (5) (2017) 1112–1142.

3. C. Bernardin, P. Gonçalves and B. Jiménez-Oviedo. A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions. Arch. Ration. Mech. Anal. 239 (2018) 1–48.

4. C. Bernardin, P. Gonçalves and B. Jiménez-Oviedo. Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps. Markov Process. Related Fields 25 (2) (2019) 217–274.

5. C. Bernardin, P. Cardoso, P. Gonçalves and S. Scotta. Hydrodynamic limit for a boundary driven super-diffusive symmetric exclusion. Preprint. Available at arXiv:2007.01621.

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