For sufficiently small ε, the stationary Gaussian Markov random field on Z^d is an explicit factor of an i.i.d. process and admits finitely dependent approximations with exponential total variation decay.
Cambridge University Press
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
A class of classical lattice models on Z^d (d≥2) with non-negative integer on-site states and nearest-neighbor interactions exhibits long-range checkerboard order at arbitrarily high temperatures via a purely entropic mechanism, proven using Pirogov-Sinai theory with a Peierls bound.
citing papers explorer
-
Glauber dynamics and coupling-from-the-past for Gaussian fields
For sufficiently small ε, the stationary Gaussian Markov random field on Z^d is an explicit factor of an i.i.d. process and admits finitely dependent approximations with exponential total variation decay.
-
Order by disorder up to arbitrarily high temperature
A class of classical lattice models on Z^d (d≥2) with non-negative integer on-site states and nearest-neighbor interactions exhibits long-range checkerboard order at arbitrarily high temperatures via a purely entropic mechanism, proven using Pirogov-Sinai theory with a Peierls bound.