I. Manolescu

most citedPlanar random-cluster model: scaling relations

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.PR2020★ 1 cited

Planar random-cluster model: scaling relations

Hugo Duminil-Copin, Ioan Manolescu

This paper studies the critical and near-critical regimes of the planar random-cluster model on $Z^{2}$ with cluster-weight $q \in [1, 4]$ using novel coupling techniques. More…

math.PR2018

Influence of the seed in affine preferential attachment trees

David Corlin Marchand, Ioan Manolescu

We study randomly growing trees governed by the affine preferential attachment rule. Starting with a seed tree $S$ , vertices are attached one by one, each linked by an edge to a ra…

math.PR2018

Exponential decay in the loop $O (n)$ model: $n > 1$ , $x < \frac{1}{3} + ε (n)$

Alexander Glazman, Ioan Manolescu

We show that the loop $O (n)$ model on the hexagonal lattice exhibits exponential decay of loop sizes whenever $n > 1$ and $x < \frac{1}{3} + ε (n)$ , for some suitable c…

Planar random-cluster model: scaling relations

Influence of the seed in affine preferential attachment trees

Exponential decay in the loop O(n) model: n>1, x<3​1​+ε(n)

Exponential decay in the loop $O (n)$ model: $n > 1$ , $x < \frac{1}{3} + ε (n)$