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


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Article Info

DATE

1986-03

AUTHORS

C. Kipnis, S. R. S. Varadhan

ABSTRACT

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.

PAGES

1-19

References to SciGraph publications

  • 1982-07. Microscopic basis for Fick's law for self-diffusion in JOURNAL OF STATISTICAL PHYSICS
  • 1983-01. Self-diffusion for particles with stochastic collisions in one dimension in JOURNAL OF STATISTICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01210789

    DOI

    http://dx.doi.org/10.1007/bf01210789

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1048441557


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