Sébastien Ott

activity

20182021

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

4 citations · 4 across the 1 of their papers we have counts for

collaborators

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5 papers · 1 filter

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) =…

math.PR2020

Existence and properties of connections decay rate for high temperature percolation models

Sébastien Ott

We consider generic finite range percolation models on $Z^{d}$ under a high temperature assumption (exponential decay of connection probabilities and exponential ratio weak…

math.PR2020

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…

math.PR2019

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 $Z^{d}$ is analytic as a function of both the inverse temperature $β$ and the ma…

math.PR2018

Asymptotics of even-even correlations in the Ising model

Sébastien Ott, Yvan Velenik

We consider finite-range ferromagnetic Ising models on $Z^{d}$ in the regime $β < β_{c}$ . We analyze the behavior of the prefactor to the exponential decay of $\mathrm{Cov}(σ_A,…