Coarse-Graining Techniques for (Random) Kac Models

Anton Bovier () and Christof Külske ()
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Anton Bovier: Weierstraß-Institut für Angewandte Analysis und Stochastik
Christof Külske: Technische Universität Berlin, Mathematisches Institut

A chapter in Interacting Stochastic Systems, 2005, pp 11-28 from Springer

Abstract: Summary We review our recent results on the low temperature behavior of Kac models. We discuss translation-invariant models and the Kac version of the random field model. For the latter we outline, how various coarse-graining techniques can be used to prove ferromagnetic ordering in dimensions d ≥ 3, small randomness, and low temperatures, uniformly in the range of the interaction.

Keywords: Partition Function; Renormalization Group; Ising Model; Gibbs Measure; Cluster Expansion (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27110-9_2

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DOI: 10.1007/3-540-27110-4_2

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