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Convergence to a non extremal equilibrium measure in the exclusion process
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  • Published: March 1986

Convergence to a non extremal equilibrium measure in the exclusion process

  • Enrique D. Andjel1 

Probability Theory and Related Fields volume 73, pages 127–134 (1986)Cite this article

Summary

It has been conjectured that the asymmetric exclusion process starting from certain product measures converges to a non extremal equilibrium measure. In this paper we prove a weaker version of this conjecture.

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References

  1. Andjel, E.: The asymmetric simple exclusion process on ℤd. Z. Wahrscheinlichkeitstheor. Verw. Geb.58, 423–432 (1981)

    Article  Google Scholar 

  2. Liggett, T.: Ergodic theorems for the asymmetric simple exclusion process. Trans. Am. Math. Soc.213, 237–261 (1975)

    Google Scholar 

  3. Liggett, T.: Coupling the simple exclusion process. Ann. Probab.4, 339–356 (1976)

    Google Scholar 

  4. Liggett, T.: Ergodic theorems for the asymmetric simple exclusion process II. Ann. Probab.5, 795–801 (1977)

    Google Scholar 

  5. Liggett, T.: Interacting Particle systems. Berlin Heidelberg New York: Springer 1985

    Google Scholar 

  6. Phelps, R.: Lectures on Choquet's theorem. Princeton: Van Nostrand 1965

    Google Scholar 

  7. Rost, H.: Non equilibrium behaviour of a many Particle process: Density profile and local equilibria. Z. Wahrscheinlichkeitstheor. Verw. Geb.58, 41–53 (1981)

    Google Scholar 

  8. Spitzer, F.: Interaction of Markov processes. Adv. Math.5, 246–290 (1970)

    Google Scholar 

  9. Walters, P.: An introduction to ergodic theory. Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  10. Wick, D.: A Dynamical phase transition in an infinite particle system. J. Stat. Phys.38, 516 (1985)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Instituto de Matematica e Estatistica, Cidade Universitaria “Armando de Salles Oliveira”, Universidade de São Paulo, C.P. 20.570, São Paulo, Brasil

    Enrique D. Andjel

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  1. Enrique D. Andjel
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Cite this article

Andjel, E.D. Convergence to a non extremal equilibrium measure in the exclusion process. Probab. Th. Rel. Fields 73, 127–134 (1986). https://doi.org/10.1007/BF01845996

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  • Received: 07 April 1985

  • Issue Date: March 1986

  • DOI: https://doi.org/10.1007/BF01845996

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Product Measure
  • Weak Version
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