Euclidean Gibbs measures on loop lattices: Existence and a priori estimates

• Sergio Albeverio ^[2] ; Yuri Kondratiev ^[1] ; Tatiana Pasurek ^[1] ; Michael Röckner ^[1]
  1. [1] Bielefeld University

     Bielefeld University

     Kreisfreie Stadt Bielefeld, Alemania

     
  2. [2] Universität Bonn
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 32, Nº. 1, 1, 2004, págs. 153-190
• Idioma: inglés
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• Resumen

  • We present a new method to prove existence and uniform a priori estimates for Euclidean Gibbs measures corresponding to quantum anharmonic crystals. It is based first on the alternative characterization of Gibbs measures in terms of their logarithmic derivatives through integration by parts formulas, and second on the choice of appropriate Lyapunov functionals.