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Applications of the Dirichlet Principle to finite reversible nearest particle systems
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  • Published: April 1987

Applications of the Dirichlet Principle to finite reversible nearest particle systems

  • Thomas M. Liggett1 

Probability Theory and Related Fields volume 74, pages 505–528 (1987)Cite this article

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Summary

The Dirichlet Principle provides a variational expression for the survival probability of a supercritical finite reversible nearest particle system. We use this expression to derive improved bounds on this survival probability, and to develop techniques for comparing different systems with the same critical value.

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References

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Author information

Authors and Affiliations

  1. Mathematics Department, UCLA, 90024, Los Angeles, CA, USA

    Thomas M. Liggett

Authors
  1. Thomas M. Liggett
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Additional information

Research supported in part by NSF Grants MCS 83-00836 and DMS-8601800

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Cite this article

Liggett, T.M. Applications of the Dirichlet Principle to finite reversible nearest particle systems. Probab. Th. Rel. Fields 74, 505–528 (1987). https://doi.org/10.1007/BF00363513

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  • Received: 30 June 1985

  • Revised: 29 September 1986

  • Issue Date: April 1987

  • DOI: https://doi.org/10.1007/BF00363513

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Keywords

  • Stochastic Process
  • Probability Theory
  • Statistical Theory
  • Survival Probability
  • Particle System
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