4 citations · 4 across the 1 of their papers we have counts for
8 papers
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…
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) =…
Existence and properties of connections decay rate for high temperature percolation models
Sébastien Ott
We consider generic finite range percolation models on under a high temperature assumption (exponential decay of connection probabilities and exponential ratio weak…
Weak mixing and analyticity in Random Cluster and low temperature Ising models
Sébastien Ott
In this note we extend the analysis of a previous paper by the author to the Random Cluster model. The main result being that the pressure of the finite range ferromagnetic Ising m…
Invariance principle for a Potts interface along a wall
Dmitry Ioffe, Sébastien Ott, Yvan Velenik +1
We consider nearest-neighbor two-dimensional Potts models, with boundary conditions leading to the presence of an interface along the bottom wall of the box. We show that, after a…
Weak Mixing and Analyticity of the Pressure in the Ising Model
Sébastien Ott
We prove that the pressure (or free energy) of the finite range ferromagnetic Ising model on is analytic as a function of both the inverse temperature and the ma…