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Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory
Authors:Aernout C. D. van Enter  Roberto Fernández  Alan D. Sokal
Affiliation:(1) Institute for Theoretical Physics, Rijksuniversiteit Groningen, 9747 AG Groningen, The Netherlands;(2) Institut de Physique Théorique, Ecole Polytechnique Fédérale de Lausanne, PHB-Ecublens, CH-1015 Lausanne, Switzerland;(3) Department of Physics, New York University, 10003 New York, New York
Abstract:
Keywords:Renormalization group  position-space renormalization  real-space renormalization  decimation transformation  majority-rule transformation  Kadanoff transformation  block-spin transformation  relative entropy  large deviations  Griffiths-Pearce pathologies  Gibbs measure  non-Gibbsian measure  quasilocality  Pirogov-Sinai theory  Fermat's last theorem
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