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- W3100535105 abstract "Let a<b, $Omega=[a,b]^{{mathbb{Z}}^{d}}$ and H be the (formal) Hamiltonian defined on Ω by 1 $$label{a1}H(eta)=frac{1}{2}sum_{x,yin {mathbb{Z}}^{d}}J(x-y)(eta(x)-eta(y))^{2},$$ where J:ℤ d →ℝ is any summable non-negative symmetric function (J(x)≥0 for all x∈ℤ d , ∑ x J(x)<∞ and J(x)=J(−x)). We prove that there is a unique Gibbs measure on Ω associated to H. The result is a consequence of the fact that the corresponding Gibbs sampler is attractive and has a unique invariant measure." @default.
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- W3100535105 date "2007-10-13" @default.
- W3100535105 modified "2023-09-27" @default.
- W3100535105 title "No Phase Transition for Gaussian Fields with Bounded Spins" @default.
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- W3100535105 doi "https://doi.org/10.1007/s10955-007-9423-9" @default.
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