Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation

On the random-cluster model

C.M. Fortuin, Piet Kasteleyn · Physica · 1972 · 1.8K citations

Natural Sciences, Mathematics, Physics +9

Correlation inequalities on some partially ordered sets

C.M. Fortuin, Piet Kasteleyn, J. Ginibre · Communications in Mathematical Physics · 1971 · 1.2K citations

Natural Sciences, Sociology, Set Theory +4

Percolation Theory for Mathematicians.

J. M. Hammersley, Harry Kesten · Journal of the Royal Statistical Society Series A (General) · 1984 · 643 citations · Full text

Natural Sciences, Mathematics, Physics +12

A lower bound for the critical probability in a certain percolation process

T. E. Harris · Mathematical Proceedings of the Cambridge Philosophical Society · 1960 · 623 citations

Natural Sciences, Mathematics, Probability Theory +15

Exact Critical Percolation Probabilities for Site and Bond Problems in Two Dimensions

M F Sykes, J W Essam · Journal of Mathematical Physics · 1964 · 610 citations

Natural Sciences, Materials Science, Computational Materials Science +13