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We provide a new proof of the sharpness of the phase transition for nearest-neighbour Bernoulli percolation.
Percolation processes: Lower bounds for the critical probability
J. M. Hammersley · 1957
Earlier work this paper cites.
Inequalities with applications to percolation and reliability
J. van den Berg and H. Kesten · 1985
Earlier work this paper cites.
Coincidence of critical points in percolation problems
M. V. Menshikov · 1986
Cited alongside, same era.
Sharpness of the phase transition in percolation models
Michael Aizenman and David J. Barsky · 1987
Cited alongside, same era.
Percolation
Geoffrey Grimmett · 1999
Later among the works it cites.
A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model
Hugo Duminil-Copin and Vincent Tassion · 2015
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