93 citations · 545 across the 20 of their papers we have counts for
20 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…
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…
Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions
Dmitry Ioffe, Yvan Velenik
In this paper, we survey and discuss various surface phenomena such as prewetting, layering and faceting for a family of two- and three-dimensional low-temperature models of statis…
An invariance principle to Ferrari-Spohn diffusions
Dmitry Ioffe, Senya Shlosman, Yvan Velenik
We prove an invariance principle for a class of tilted (1+1)-dimensional SOS models or, equivalently, for a class of tilted random walk bridges in Z_+. The limiting objects are sta…
An Almost-Sure CLT for Stretched Polymers
Dmitry Ioffe, Yvan Velenik
We prove an almost sure CLT for spatial extension of stretched (meaning subject to a non-zero pulling force) polymers at very weak disorder in all dimensions d+1 larger than or equ…
Self-Attractive Random Walks: The Case of Critical Drifts
Dmitry Ioffe, Yvan Velenik
Self-attractive random walks undergo a phase transition in terms of the applied drift: If the drift is strong enough, then the walk is ballistic, whereas in the case of small drift…