16 citations · 92 across the 19 of their papers we have counts for
5 papers · 1 filter
Low temperature asymptotic expansion for classical vector models
Alessandro Giuliani, Sébastien Ott
We consider classical vector models in dimension three and higher and investigate the nature of the low-temperature expansions for their multipoint spin correlations. We pro…
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…
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…
Sharp Asymptotics for the Truncated Two-Point Function of the Ising Model with a Positive Field
Sébastien Ott
We prove that the correction to exponential decay of the truncated two points function in the homogeneous positive field Ising model is . The proof is based on t…
Potts models with a defect line
Sébastien Ott, Yvan Velenik
We provide a detailed analysis of the correlation length in the direction parallel to a line of modified coupling constants in the ferromagnetic Potts model on at te…