70 citations · 472 across the 34 of their papers we have counts for
32 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) =…
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…
Split-and-Merge in Stationary Random Stirring on Lattice Torus
Dmitry Ioffe, Bálint Tóth
We show that in any dimension , the cycle-length process of stationary random stirring (or, random interchange) on the lattice torus converges to the canonical Markovian spl…
Tightness and Line Ensembles for Brownian Polymers under Geometric Area Tilts
Pietro Caputo, Dmitry Ioffe, Vitali Wachtel
We prove tightness and limiting Brownian-Gibbs description for line ensembles of non-colliding Brownian bridges above a hard wall, which are subject to geometrically growing self-p…
Confinement of Brownian Polymers under Geometric Area Tilts
Pietro Caputo, Dmitry Ioffe, Vitali Wachtel
We consider tightness for families of non-colliding Brownian bridges above a hard wall, which are subject to geometrically growing self-potentials of tilted area type. The model is…