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Variational principle for some renormalized measures

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Lefevere, R.

We show that some measures suffering from the so-called renormalization group pathologies satisfy a variational principle and that the corresponding limit of the pressure, with boundary conditions in a set of measure 1, is equal to the pressure of the Ising model module a scale factor.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1999
Language Anglais
Journal information "Journal of Statistical Physics" - Vol. 96, no. 1-2, p. 109-133 (1999)
Peer reviewed yes
Publisher Kluwer Academic/plenum Publ (New York)
issn 0022-4715
e-issn 1572-9613
Publication status Publié
Affiliation UCL
Keywords renormalization group pathologies ; variational principle ; weakly Gibbsian ; Gibbs measures
Links
Bibliographic reference Lefevere, R.. Variational principle for some renormalized measures. In: Journal of Statistical Physics, Vol. 96, no. 1-2, p. 109-133 (1999)
Permanent URL http://hdl.handle.net/2078.1/44167