Methods of Contemporary Mathematical Statistical Physics

  • Marek Biskup
  • Anton Bovier
  • Frank Hollander
  • Dima Ioffe
  • Fabio Martinelli
  • Karel Netocný
  • Christina Toninelli
  • Roman Kotecký

Part of the Lecture Notes in Mathematics book series (LNM, volume 1970)

Table of contents

  1. Front Matter
    Pages 1-8
  2. Fabio Lucio Toninelli
    Pages 1-48
  3. Anton Bovier
    Pages 1-45
  4. Christian Maes, Karel Netoˇcn´y, Bidzina Shergelashvili
    Pages 1-60
  5. N. Cancrini, F. Martinelli, C. Robert, C. Toninelli
    Pages 1-34
  6. Back Matter
    Pages 1-9

About this book


This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools.
An introductory chapter on lattice spin models is useful as a background for other lectures of the collection.
The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers.
A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed.
A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics.


STATISTICA lattice models mathematical statistical mechanics mechanics metastability phase transition phase transitions polymers solid stability statistical physics stochastic geometry

Authors and affiliations

  • Marek Biskup
    • 1
  • Anton Bovier
    • 2
  • Frank Hollander
    • 3
  • Dima Ioffe
    • 4
  • Fabio Martinelli
    • 5
  • Karel Netocný
    • 6
  • Christina Toninelli
    • 7
  1. 1.Dept. MathematicsUniversity of California, Los AngelesLos AngelesU.S.A.
  2. 2.Inst. Angewandte MathematikUniversität BonnBonnGermany
  3. 3.Mathematisch InstituutUniversiteit LeidenLeidenNetherlands
  4. 4.Fac. Industrial Engineering & ManagementTechnion - Israel Institute TechnologyHaifaIsrael
  5. 5.Dipto. MatematicaUniversità Roma TreRomaItaly
  6. 6.Inst. PhysicsASCR PrahaPraha 8Czech Republic
  7. 7.CNRS UMR 7599Université Paris VIParis CX 05France

Editors and affiliations

  • Roman Kotecký
    • 1
  1. 1.Ctr. for Theoretical StudyCharles UniversityPraha 1Czech Republic

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-92795-2
  • Online ISBN 978-3-540-92796-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book