Hugo Vanneuville: Sharpness of Bernoulli percolation via couplings


In this talk, I will present a new proof of the sharpness of the phase transition for Bernoulli percolation, without using Russo’s formula. We will rather use some stochastic domination properties (inspired by another work by Russo!). I will also discuss a connection between this proof and the following problem: “How can we prove sharp thresholds by only studying the model at one specific parameter?”.


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