Communications in Mathematical Physics

, Volume 104, Issue 1, pp 1–19 | Cite as

Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions

  • C. Kipnis
  • S. R. S. Varadhan


We prove a functional central limit theorem for additive functionals of stationary reversible ergodic Markov chains under virtually no assumptions other than the necessary ones. We use these results to study the asymptotic behavior of a tagged particle in an infinite particle system performing simple excluded random walk.


Neural Network Statistical Physic Complex System Markov Chain Asymptotic Behavior 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • C. Kipnis
    • 1
  • S. R. S. Varadhan
    • 2
  1. 1.Centre de Mathematiques AppliqueésEcole PolytechniquePalaiseauFrance
  2. 2.Courant InstituteNew York UniversityNew YorkUSA

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