Y. Aoun

activity

20202026

most citedSharp asymptotics of correlation functions in the subcritical long-range random-cluster and Potts models

7 citations · 22 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.PR2020

Short proof of the sharpness of the phase transition for the random-cluster model with $q = 2$

Yacine Aoun

The purpose of this modest note is to provide a short proof of the sharpness of the phase transition for the Random-cluster model with $q = 2$ by extending the approach developed by…

math.PR2020★ 5 cited

Non-analyticity of the correlation length in systems with exponentially decaying interactions

Yacine Aoun, Dmitry Ioffe, Sébastien Ott +1

We consider a variety of lattice spin systems (including Ising, Potts and XY models) on $Z^{d}$ with long-range interactions of the form $J_{x} = ψ (x) e^{- ∣ x ∣}$ , where $ψ(x) =…

math.PR2020★ 7 cited

Sharp asymptotics of correlation functions in the subcritical long-range random-cluster and Potts models

Yacine Aoun

For a family of random-cluster models with cluster weights $q \geq 1$ , we prove that the probability that $0$ is connected to $x$ is asymptotically equal to $\tfrac{1}{q}χ(β)^{2}βJ_…

Short proof of the sharpness of the phase transition for the random-cluster model with q=2

Non-analyticity of the correlation length in systems with exponentially decaying interactions

Sharp asymptotics of correlation functions in the subcritical long-range random-cluster and Potts models

Short proof of the sharpness of the phase transition for the random-cluster model with $q = 2$