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20112026
most citedA new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model

112 citations · 389 across the 32 of their papers we have counts for

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math.PR2024★ 1 cited

Counting minimal cutsets and

Philip Easo, Franco Severo, Vincent Tassion

We prove two results concerning percolation on general graphs. - We establish the converse of the classical Peierls argument: if the critical parameter for (uniform) percolation sa…

math.PR2024

Strict inequalities for arm exponents in planar percolation

Ritvik Ramanan Radhakrishnan, Vincent Tassion

We discuss a general method to prove quantitative improvements on correlation inequalities and apply it to arm estimates for Bernoulli bond percolation on the square lattice. Our f…