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Type: Artigo de periódico
Title: Coherence and uniqueness theorems for averaging processes in statistical mechanics
Author: Torriani, HH
Hazewinkel, M
Abstract: Let S be the set of scalings {n(-1) : n = 1, 2, 3,...} and let L-z = zZ(2), z is an element of S, be the corresponding set of scaled lattices in R-2. In this paper averaging operators are defined for plaquette functions on L-z to plaquette functions on L-z' for all z', z is an element of S, z' = dz, d is an element of {2, 3, 4,...}, and their coherence is proved. This generalizes the averaging operators introduced by Balaban and Federbush. There are such coherent families of averaging operators for any dimension D = 1, 2, 3,... and not only for D = 2. Finally there are uniqueness theorems saying that in a sense, besides a form of straightforward averaging, the weights used are the only ones that give coherent families of averaging operators.
Subject: lattice theory
averaging operator
coarsening operator
scaling limit
field theory
coherent family of averaging operators
Balaban-Federbush averaging
plaquette function
coherent averaging
Country: Holanda
Editor: Kluwer Academic Publ
Citation: Acta Applicandae Mathematicae. Kluwer Academic Publ, v. 77, n. 2, n. 105, n. 123, 2003.
Rights: fechado
Identifier DOI: 10.1023/A:1024018909120
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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