112 citations · 389 across the 32 of their papers we have counts for
5 papers · 1 filter
The Bethe ansatz for the six-vertex and XXZ models: an exposition
Hugo Duminil-Copin, Maxime Gagnebin, Matan Harel +2
In this paper, we review a few known facts on the coordinate Bethe ansatz. We present a detailed construction of the Bethe ansatz vector and energy , which satisfy …
Discontinuity of the phase transition for the planar random-cluster and Potts models with
Hugo Duminil-Copin, Maxime Gagnebin, Matan Harel +2
We prove that the -state Potts model and the random-cluster model with cluster weight undergo a discontinuous phase transition on the square lattice. More precisely, we sh…
The box-crossing property for critical two-dimensional oriented percolation
Hugo Duminil-Copin, Vincent Tassion, Augusto Teixeira
We consider critical oriented Bernoulli percolation on the square lattice . We prove a Russo-Seymour-Welsh type result which allows us to derive several new results c…
Sharpness of the phase transition for continuum percolation in R^2
Daniel Ahlberg, Vincent Tassion, Augusto Teixeira
We study the phase transition of random radii Poisson Boolean percolation: Around each point of a planar Poisson point process, we draw a disc of random radius, independently for e…
A new computation of the critical point for the planar random-cluster model with
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion
We present a new computation of the critical value of the random-cluster model with cluster weight on . This provides an alternative approach to the result o…