Y. Aoun

most citedFailure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density

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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

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) =…

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

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