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Methods of Contemporary Mathematical Statistical Physics

  • Book
  • © 2009

Overview

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

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Table of contents (7 chapters)

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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.

Authors, Editors and Affiliations

  • Ctr. for Theoretical Study, Charles University, Praha 1, Czech Republic

    Roman Kotecký

  • Department of Mathematics, University of Warwick, UK

    Roman Kotecký

  • Dept. Mathematics, University of California, Los Angeles, Los Angeles, USA

    Marek Biskup

  • Inst. Angewandte Mathematik, Universität Bonn, Bonn, Germany

    Anton Bovier

  • Mathematisch Instituut, Universiteit Leiden, Leiden, The Netherlands

    Frank Hollander

  • Fac. Industrial Engineering & Management, Technion - Israel Institute Technology, Haifa, Israel

    Dima Ioffe

  • Dipto. Matematica, Università Roma Tre, Roma, Italy

    Fabio Martinelli

  • Inst. Physics, ASCR Praha, Praha 8, Czech Republic

    Karel Netočný

  • CNRS UMR 7599, Université Paris VI, Paris CX 05, France

    Fabio Toninelli

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