Sharpness of the phase transition in percolation models

Author:

Aizenman Michael,Barsky David J.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference23 articles.

1. Kesten, H.: The critical probability of bond percolation on the square lattice equals 1/2. Commun. Math. Phys.74, 41?59 (1980)

2. Russo, L.: On the critical percolation probabilities. Z. Wahrscheinlichkeitstheor. Verw. Geb.56, 229?237 (1981)

3. Aizenman, M., Newman, C.M.: Discontinuity of the percolation density in one-dimensional 1/|x?y|2 percolation models. Commun. Math. Phys.107, 611?647 (1986)

4. Aizenman, M., Chayes, J.T., Chayes, L., Imbrie, J., Newman, C.M.: An intermediate phase with slow decay of correlations in one-dimensional 1/|x?y|2 Ising and Potts models (in preparation)

5. Aizenman, M.: Contribution in: Statistical physics and dynamical systems (Proceedings Kösheg 1984). Fritz, J., Jaffe, A., Szasz, D. (eds.). Boston: Birkhäuser 1985

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