Zobrazeno 1 - 10
of 130
pro vyhledávání: '"Ioffe, Dmitry"'
A new ``Percolation with Clustering'' (PWC) model is introduced, where (the probabilities of) site percolation configurations on the leaf set of a binary tree are rewarded exponentially according to a generic function, which measures the degree of cl
Externí odkaz:
http://arxiv.org/abs/2410.13551
Publikováno v:
Annals of Probability 50, 1127-1172 (2022)
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 model in a $2N\times N$ rectangular box with a boundary condition indu
Externí odkaz:
http://arxiv.org/abs/2011.11997
Publikováno v:
Communications in Mathematical Physics 386, 433-467 (2021)
We consider a variety of lattice spin systems (including Ising, Potts and XY models) on $\mathbb{Z}^d$ with long-range interactions of the form $J_x = \psi(x) e^{-|x|}$, where $\psi(x) = e^{\mathsf{o}(|x|)}$ and $|\cdot|$ is an arbitrary norm. We cha
Externí odkaz:
http://arxiv.org/abs/2011.09802
Publikováno v:
Journal of Statistical Physics 180, 832-861 (2020)
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 suitable diffusive scaling, the interface weakly converges to the stan
Externí odkaz:
http://arxiv.org/abs/2001.04737
Autor:
Ioffe, Dmitry, Tóth, Bálint
We show that in any dimension $d\ge1$, the cycle-length process of stationary random stirring (or, random interchange) on the lattice torus converges to the canonical Markovian split-and-merge process with the invariant (and reversible) measure given
Externí odkaz:
http://arxiv.org/abs/1909.06188
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-potentials of tilted area type. Statistical properties of the resulting
Externí odkaz:
http://arxiv.org/abs/1906.06533
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 introduced in order to mimic level lines of $2+1$ discrete Solid-On-S
Externí odkaz:
http://arxiv.org/abs/1809.03209
We consider the dynamics of a class of spin systems with unbounded spins interacting with local mean field interactions. We proof convergence of the empirical measure to the solution of a McKean-Vlasov equation in the hydrodynamic limit and propagati
Externí odkaz:
http://arxiv.org/abs/1805.00641
Autor:
Ioffe, Dmitry, Shlosman, Senya
We study an effective model of microscopic facet formation for low temperature three dimensional microscopic Wulff crystals above the droplet condensation threshold. The model we consider is a 2+1 solid on solid surface coupled with high and low dens
Externí odkaz:
http://arxiv.org/abs/1704.06760
Autor:
Ioffe, Dmitry, Velenik, Yvan
Publikováno v:
Markov Processes And Related Fields 24, No 3, 487-537 (2018)
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 statistical mechanics, notably Ising models and (2+1)-dimensional solid-on-s
Externí odkaz:
http://arxiv.org/abs/1611.00658