7 citations · 22 across the 9 of their papers we have counts for
10 papers
Non-perturbative finite connectivities in supercritical Bernoulli percolation on with
Yacine Aoun, Kamil Khettabi
We solve a longstanding problem in Bernoulli percolation: we derive sharp Ornstein--Zernike asymptotics for the probability that two distant points are connected by a finite cluste…
Fixed-magnetization Ising model with a slowly varying magnetic field
Yacine Aoun, Sébastien Ott, Yvan Velenik
The motivation for this paper is the analysis of the fixed-density Ising lattice gas in the presence of a gravitational field. This is a seen as a particular instance of an Ising m…
On the two-point function of the Ising model with infinite range-interactions
Yacine Aoun, Kamil Khettabi
In this article, we prove some results concerning the truncated two-point function of the infinite-range Ising model above and below the critical temperature. More precisely, if th…
Phase diagram of the Ashkin-Teller model
Yacine Aoun, Moritz Dober, Alexander Glazman
The Ashkin-Teller model is a pair of interacting Ising models and has two parameters: is a coupling constant in the Ising models and describes the strength of the interacti…
On the two-point function of the Potts model in the saturation regime
Yacine Aoun, Sébastien Ott, Yvan Velenik
We consider the Random-Cluster model on with interactions of infinite range of the form with a norm on and a su…
Ornstein-Zernike behavior for Ising models with infinite-range interactions
Yacine Aoun, Sébastien Ott, Yvan Velenik
We prove Ornstein-Zernike behavior for the large-distance asymptotics of the two-point function of the Ising model above the critical temperature under essentially optimal assumpti…
Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density
Y. Aoun, D. Ioffe, S. Ott +1
We report on recent results that show that the pair correlation function of systems with exponentially decaying interactions can fail to exhibit Ornstein-Zernike asymptotics at all…
Short proof of the sharpness of the phase transition for the random-cluster model with
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 by extending the approach developed by…
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 with long-range interactions of the form , where $ψ(x) =…
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 , we prove that the probability that is connected to is asymptotically equal to $\tfrac{1}{q}χ(β)^{2}βJ_…