Applications of the Dirichlet Principle to finite reversible nearest particle systems

Author:

Liggett Thomas M.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference13 articles.

1. Aizenman, M., Newman, C.M.: Discontinuity of the percolation density in one dimensional 1/❘x−y❘2 percolation models. Preprint

2. Aizenman, M., Chayes, J.T., Chayes, L., Newman, C.M.: Discontinuity of the order parameter in one dimensional 1/❘x−y❘2 Ising and Potts models. In preparation

3. Fröhlich, J., Spencer, T.: The phase transition in the one dimensional Ising model with 1/r 2 interaction energy. Comm. Math. Phys. 84, 87–101 (1982)

4. Griffeath, D., Liggett, T.M.: Critical phenomena for Spitzer's reversible nearest particle systems. Ann. Probab. 10, 881–895 (1982)

5. Harris, T.E.: The Theory of Branching Processes. Berlin Heidelberg New York: Springer 1963

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