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Scaling and Self-Similarity in Physics

Renormalization in Statistical Mechanics and Dynamics

  • Book
  • © 1983

Overview

Editors:
  1. Jürg Fröhlich

    1. Department of Theoretical Physics, ETH - Hönggerberg, Zürich, Switzerland

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Part of the book series: Progress in Mathematical Physics (PMP, volume 7)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-8
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  2. Equilibrium statistical mechanics and field theory

    1. Front Matter

      Pages 9-9
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    2. Large Fluctuations of Random Fields and Renormalization Group: Some Perspectives

      • G. Jona-Lasinio
      Pages 11-28

    3. The Berezinskii-Kosterlitz-Thouless Transition (Energy-Entropy Arguments and Renormalization in Defect Gases)

      • Jürg Fröhlich, Thomas Spencer
      Pages 29-138

    4. Interface and Surface Tension in Ising Model

      • Charles-Edouard Pfister
      Pages 139-161

    5. Iterated Mayer Expansions and Their Application to Coulomb Gases

      • John Z. Imbrie
      Pages 163-179

    6. Rigorous Results on the Critical Behavior in Statistical Mechanics

      • Michael Aizenman
      Pages 181-201

    7. Non-Perturbative Methods for the Study of Massless Models

      • Jean-Raymond Fontaine
      Pages 203-226

    8. Rigorous Renormalization Group and Asymptotic Freedom

      • K. Gawędzki, A. Kupiainen
      Pages 227-262

    9. On Infrared Superrenormalization

      • J. Magnen, R. Seneor
      Pages 263-296

    10. Ultraviolet Stability in Field Theory. The ϕ 3 4 Model

      • Tadeusz Balaban
      Pages 297-319

  3. Dynamical Systems

    1. Front Matter

      Pages 321-321
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    2. Renormalization Group Analysis for Dynamical Systems

      • P. Collet, H. Koch
      Pages 323-350

    3. Bowen’s Formula for the Hausdorff Dimension of Self-Similar Sets

      • David Ruelle
      Pages 351-358

    4. Perturbation Theory for Classical Hamiltonian Systems

      • Giovanni Gallavotti
      Pages 359-426

  4. Back Matter

    Pages 427-433
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Keywords

Editors and Affiliations

  • Department of Theoretical Physics, ETH - Hönggerberg, Zürich, Switzerland

    Jürg Fröhlich

Bibliographic Information

  • Book Title: Scaling and Self-Similarity in Physics

  • Book Subtitle: Renormalization in Statistical Mechanics and Dynamics

  • Editors: Jürg Fröhlich

  • Series Title: Progress in Mathematical Physics

  • DOI: https://doi.org/10.1007/978-1-4899-6762-6

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1983

  • Softcover ISBN: 978-1-4899-6764-0Published: 24 October 2013

  • eBook ISBN: 978-1-4899-6762-6Published: 14 December 2013

  • Series ISSN: 1544-9998

  • Series E-ISSN: 2197-1846

  • Edition Number: 1

  • Number of Pages: VI, 433

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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