V. Tassion

activity

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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Showing 2021Show all

2 papers · 1 filter

math.PR2021★ 1 cited

Near critical scaling relations for planar Bernoulli percolation without differential inequalities

Hugo Duminil-Copin, Ioan Manolescu, Vincent Tassion

We provide a new proof of the near-critical scaling relation $β = ξ_{1} ν$ for Bernoulli percolation on the square lattice already proved by Kesten in 1987. We rely on a novel approach…

math.PR2021★ 3 cited

Supercritical percolation on graphs of polynomial growth

Daniel Contreras, Sébastien Martineau, Vincent Tassion

We consider Bernoulli percolation on transitive graphs of polynomial growth. In the subcritical regime ( $p < p_{c}$ ), it is well known that the connection probabilities decay exponenti…