I. Manolescu

activity

20112026

most citedDiscontinuity of the phase transition for the planar random-cluster and Potts models with

q > 4

58 citations · 322 across the 30 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.PR2016★ 16 cited

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 $ψ$ and energy $Λ$ , which satisfy $V ψ = Λ ψ$ …

math.PR2016★ 58 cited

Discontinuity of the phase transition for the planar random-cluster and Potts models with $q > 4$

Hugo Duminil-Copin, Maxime Gagnebin, Matan Harel +2

We prove that the $q$ -state Potts model and the random-cluster model with cluster weight $q > 4$ undergo a discontinuous phase transition on the square lattice. More precisely, we sh…

math.GR2016

Expected Depth of Random Walks on Groups

Khalid bou-Rabee, Ioan Manolescu, Aglaia Myropolska

For $G$ a finitely generated group and $g \in G$ , we say $g$ is detected by a normal subgroup $N ⊲ G$ if $g \in / N$ . The depth $D_{G} (g)$ of $g$ is the lowest index of a normal,…

math.PR2016★ 1 cited

The phase transitions of the random-cluster and Potts models on slabs with $q \geq 1$ are sharp

Ioan Manolescu, Aran Raoufi

We prove sharpness of the phase transition for the random-cluster model with $q \geq 1$ on graphs of the form $S := G \times S$ , where $G$ is a planar…

The Bethe ansatz for the six-vertex and XXZ models: an exposition

Discontinuity of the phase transition for the planar random-cluster and Potts models with q>4

Expected Depth of Random Walks on Groups

The phase transitions of the random-cluster and Potts models on slabs with q≥1 are sharp

Discontinuity of the phase transition for the planar random-cluster and Potts models with $q > 4$

The phase transitions of the random-cluster and Potts models on slabs with $q \geq 1$ are sharp