The self-dual point of the two-dimensional random-cluster model is critical for $q\geq 1$

Statistics of the two-dimensional ferromagnet I

H.A. Kramers and G.H. Wannier · 1941

Earlier work this paper cites.

Crystal statistics. I. A two-dimensional model with an order-disorder transition

L. Onsager · 1944

Earlier work this paper cites.

On the random-cluster model I. Introduction and relation to other models

C.M. Fortuin and R.W. Kasteleyn · 1972

Earlier work this paper cites.

Exact results for the Potts model in two dimensions

A. Hintermann, H. Kunz and F.Y. Wu · 1978

Earlier work this paper cites.

The critical probability of edge percolation on the square lattice equals 1 / 2 1/2

H. Kesten · 1980

Earlier work this paper cites.

On the critical percolation probabilities

L. Russo · 1981

Earlier work this paper cites.

Exactly solved models in statistical mechanics

R. J. Baxter · 1982

Earlier work this paper cites.

Phases coexistence and surface tensions for the Potts model

L. Laanait, A. Messager and J. Ruiz · 1986

Earlier work this paper cites.

The phase transition in a general class of Ising-type models is sharp

M. Aizenman, D. J. Barsky and R. Fernández · 1987

Earlier work this paper cites.

The influence of variables on Boolean functions

J. Kahn, G. Kalai and N. Linial · 1988

Cited alongside, same era.

Density and uniqueness in percolation

R.M. Burton and M. Keane · 1989

Cited alongside, same era.

Interfaces in the Potts model. I. Pirogov-Sinai theory of the Fortuin-Kasteleyn representation

L. Laanait, A. Messager, S. Miracle-Solé, J. Ruiz and S. Shlosman · 1991

Cited alongside, same era.

Strict inequality for critical values of Potts models and random-cluster processes

C.E. Bezuidenhout, G.R. Grimmett and H. Kesten · 1993

Cited alongside, same era.

Greedy lattice animals I: upper bounds

J.T. Cox, A. Gandolfi, P. Griffin and H. Kesten · 1993

Cited alongside, same era.

First-passage percolation for random colorings of ℤ d \mathbb{Z}^{d}

L.R. Fontes and C.M. Newman · 1993

Cited alongside, same era.

Influence in product spaces: KKL and BKKKL revisited

E. Friedgut · 2004

Later among the works it cites.

The critical probability for random Voronoi percolation in the plane is 1/2

B. Bollobás and O. Riordan · 2006

Later among the works it cites.

Sharp thresholds and percolation in the plane

B. Bollobás and O. Riordan · 2006

Later among the works it cites.

Influence and sharp threshold theorems for monotonic measures

B.T. Graham and G.R. Grimmett · 2006

Later among the works it cites.

The Random-Cluster Model (second edition)

G.R. Grimmett · 2006

Later among the works it cites.

Threshold phenomena and influence

G. Kalai and S. Safra · 2006

Later among the works it cites.