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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Research supported in part by NSF Grants MCS 83-00836 and DMS-8601800
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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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DOI: https://doi.org/10.1007/BF00363513
Keywords
- Stochastic Process
- Probability Theory
- Statistical Theory
- Survival Probability
- Particle System