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math.PR2007★ 4 cited
No phase transition for Gaussian fields with bounded spins
Pablo A. Ferrari, Sebastian P. Grynberg
Let a<b, Ω=[a,b]^{\Z^d} and H be the (formal) Hamiltonian defined on Ωby H(η) = \frac12 \sum_{x,y\in\Z^d} J(x-y) (η(x)-η(y))^2 where J:\Z^d\to\R is any summable non-negative symmet…
math.PR2005
Perfectly random sampling of truncated multinormal distributions
Pedro J. Fernandez, Pablo A. Ferrari, Sebastian Grynberg
The target measure is the distribution of a random vector in a box $\cB$, a Cartesian product of bounded intervals. The Gibbs sampler is a Markov chain with invariant measure $…