16 citations · 92 across the 19 of their papers we have counts for
5 papers · 1 filter
Critical prewetting in the 2d Ising model
Dmitry Ioffe, Sébastien Ott, Senya Shlosman +1
In this paper we develop a detailed analysis of critical prewetting in the context of the two-dimensional Ising model. Namely, we consider a two-dimensional nearest-neighbor Ising…
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…