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Asymptotic behavior of a tagged particle in simple exclusion processes

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Abstract

We review in this article central limit theorems for a tagged particle in the simple exclusion process. In the first two sections we present a general method to prove central limit theorems for additive functional of Markov processes. These results are then applied to the case of a tagged particle in the exclusion process. Related questions, such as smoothness of the diffusion coefficient and finite dimensional approximations, are considered in the last section.

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Authors and Affiliations

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

    C. Landim

  2. CNRS UPRES-A 6085, Université de Rouen, 76128, Mont Saint Aignan, France

    C. Landim

  3. Départment de Mathématiques, Université de Cergy Pontoise, 2 Av.Adolphe Chauvin, B.P.222, Pontoise Cergy-Pontoise-Cedex

    S. Olla

  4. Courant Institute of Mathematical Sciences, New York University, 251 Mercer street, 10012, New York, NY, USA

    S. R. S. Varadhan

Authors
  1. C. Landim
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  2. S. Olla
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  3. S. R. S. Varadhan
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Landim, C., Olla, S. & Varadhan, S.R.S. Asymptotic behavior of a tagged particle in simple exclusion processes. Bol. Soc. Bras. Mat 31, 241–275 (2000). https://doi.org/10.1007/BF01241629

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  • DOI: https://doi.org/10.1007/BF01241629

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