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

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CO2018★ 1 cited

Long monotone trails in random edge-labelings of random graphs

Omer Angel, Asaf Ferber, Benny Sudakov +1

Given a graph $G$ and a bijection $f : E (G) \to {1, 2, \dots, e (G)}$ , we say that a trail/path in $G$ is $f$ -\emph{increasing} if the labels of consecutive edges of this t…

math.PR2018★ 8 cited

Subcritical phase of $d$ -dimensional Poisson-Boolean percolation and its vacant set

Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion

We prove that the Poisson-Boolean percolation on $R^{d}$ undergoes a sharp phase transition in any dimension under the assumption that the radius distribution has a $5 d - 3$ f…

math-ph2018★ 22 cited

Emergent Planarity in two-dimensional Ising Models with finite-range Interactions

Michael Aizenman, Hugo Duminil-Copin, Vincent Tassion +1

The known Pfaffian structure of the boundary spin correlations, and more generally order-disorder correlation functions, is given a new explanation through simple topological consi…

Long monotone trails in random edge-labelings of random graphs

Subcritical phase of d-dimensional Poisson-Boolean percolation and its vacant set

Emergent Planarity in two-dimensional Ising Models with finite-range Interactions

Subcritical phase of $d$ -dimensional Poisson-Boolean percolation and its vacant set