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 2018Show all

4 papers · 1 filter

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…

math.PR2018

Uniform Lipschitz functions on the triangular lattice have logarithmic variations

Alexander Glazman, Ioan Manolescu

Uniform integer-valued Lipschitz functions on a domain of size $N$ of the triangular lattice are shown to have variations of order $lo g N$ . The level lines of such function…

math.PR2018★ 7 cited

Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion

Hugo Duminil-Copin, Shirshendu Ganguly, Alan Hammond +1

Let $c_{n} = c_{n} (d)$ denote the number of self-avoiding walks of length $n$ starting at the origin in the Euclidean nearest-neighbour lattice $Z^{d}$ . Let $μ= \lim_n c_n^{1/n}…

Influence of the seed in affine preferential attachment trees

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

Uniform Lipschitz functions on the triangular lattice have logarithmic variations

Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion

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