Equilibrium fluctuations for a discrete Atlas model

Author:

Hernández Freddy,Jara Milton,Valentim Fábio Júlio

Funder

FAPERJ

CNPq

NWO Gravitation

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference17 articles.

1. Equilibrium fluctuations of gradient reversible particle systems;Chang;Probab. Theory Related Fields,1994

2. Equilibrium fluctuations of asymmetric simple exclusion processes in dimension d≥3;Chang;Probab. Theory Related Fields,2001

3. A. Dembo, L.-C. Tsai, Equilibrium fluctuations of the atlas model, 2015. arXiv:1503.03581.

4. Stochastic Portfolio Theory;Fernholz,2002

5. The simple exclusion process as seen from a tagged particle;Ferrari;Ann. Probab.,1986

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1. A Driven Tagged Particle in Symmetric Exclusion Processes with Removals;Communications on Pure and Applied Mathematics;2020-08-08

2. Lattice model for fast diffusion equation;Stochastic Processes and their Applications;2020-05

3. The infinite Atlas process: Convergence to equilibrium;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2019-05-01

4. Brownian Particles with Rank‐Dependent Drifts: Out‐of‐Equilibrium Behavior;Communications on Pure and Applied Mathematics;2019-04-11

5. Optimal surviving strategy for drifted Brownian motions with absorption;The Annals of Probability;2018-05-01

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