On local behaviour of the phase separation line in the 2D Ising model

DOI10.1007/s004400050146zbMath0897.60038OpenAlexW1986960238MaRDI QIDQ1377039

Ostap Hryniv

Publication date: 1 February 1998

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/12685/1/12685.pdf

zbMATH Keywords

functional central limit theoremBrownian bridgeIsing modellimiting Gaussian measurevariances of local increments

Mathematics Subject Classification ID

Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Functional limit theorems; invariance principles (60F17)

Related Items (7)

Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor ⋮ Quasi-polynomial mixing of the 2D stochastic Ising model with ``plus boundary up to criticality ⋮ Lower bounds for boundary roughness for droplets in Bernoulli percolation ⋮ One-dimensional Ising models with long range interactions: cluster expansion, phase-separating point ⋮ The statistical properties of the interfaces for the lattice Widom--Rowlinson model ⋮ Tightness and tails of the maximum in 3D Ising interfaces ⋮ Local and global geometry of the 2D Ising interface in critical prewetting

This page was built for publication: On local behaviour of the phase separation line in the 2D Ising model