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In and Out of Equilibrium

Probability with a Physics Flavor

  • Book
  • © 2002

Overview

Editors:
  1. Vladas Sidoravicius

    1. IMPA-Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil

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Part of the book series: Progress in Probability (PRPR, volume 51)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Randomly Coalescing Random Walk in Dimension ≥3

    • J. van den Berg, Harry Kesten
    Pages 1-45

  3. The Single Droplet Theorem for Random Cluster Models

    • Kenneth Alexander
    Pages 47-73

  4. Phase Coexistence for the Kac-Ising Models

    • Thierry Bodineau
    Pages 75-111

  5. Sharp Estimates for Brownian Non-intersection Probabilities

    • Gregory F. Lawler, Oded Schramm, Wendelin Werner
    Pages 113-131

  6. Tagged Particle Distributions or How to Choose a Head at Random

    • Thomas M. Liggett
    Pages 133-162

  7. Approach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice

    • Federico Camia, Charles M. Newman, Vladas Sidoravicius
    Pages 163-183

  8. Current Fluctuations for the Totally Asymmetric Simple Exclusion Process

    • Michael Prähofer, Herbert Spohn
    Pages 185-204

  9. Asymptotic Behaviour of Semi-Infinite Geodesics for Maximal Increasing Subsequences in the Plane

    • Mario V. Wüthrich
    Pages 205-226

  10. Hydrodynamic Equation for a Deposition Model

    • Bálint Tóth, Wendelin Werner
    Pages 227-248

  11. Time Reversal of Degenerate Diffusions

    • Jeremy Quastel
    Pages 249-257

  12. Spectral Gap and Logarithmic Sobolev Constant of Kawasaki Dynamics Under a Mixing Condition Revisited

    • Nicoletta Cancrini, Fabio Martinelli, Cyril Roberto
    Pages 259-271

  13. Directed Percolation and Random Walk

    • Geoffrey Grimmett, Philipp Hiemer
    Pages 273-297

  14. Entanglement and Rigidity in Percolation Models

    • Alexander E. Holroyd
    Pages 299-307

  15. On Critical Values for Some Random Processes with Local Interaction in R2

    • André Toom
    Pages 309-319

  16. The Distribution of the Maximum of a Gaussian Process: Rice Method Revisited

    • Jean-Marc Azaïs, Mario Wschebor
    Pages 321-348

  17. Gibbs Measures on Brownian Paths

    • József Lőrinczi
    Pages 349-362

  18. Geometric and Probabilistic Aspects of Boson Lattice Models

    • Daniel Ueltschi
    Pages 363-391

  19. Thermodynamical Aspects of Classical Lattice Systems

    • Charles-Edouard Pfister
    Pages 393-472
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Keywords

About this book

For more than two decades percolation theory, random walks, interacting parti­ cle systems and topics related to statistical mechanics have experienced inten­ sive growth. In the last several years, especially remarkable progress has been made in a number of directions, such as: Wulff constructions above two dimen­ sions for percolation, Potts and Ising models, classification of random walks in random environments, better understanding of fluctuations in two dimen­ sional growth processes, the introduction and remarkable uses of the Stochastic Loewner Equation, the rigorous derivation of exact intersection exponents for planar Brownian motion, and finally, the proof of conformal invariance for crit­ ical percolation scaling limits on the triangular lattice. It was thus a fortuitous time to bring together researchers, including many personally responsible for these advances, in the framework of the IVth Brazilian School of Probability, held at Mambucaba on August 14-19,2000. This School, first envisioned and organized by IMPA's probability group in 1997, has since developed into an annual meeting with an almost constant format: it usually offers three advanced courses delivered by prominent scientists, combined with a high-level conference. This volume contains invited articles associated with that meeting, and we hope it will provide the reader with an accurate impression regarding the current state of affairs in these important fields of probability theory.

Editors and Affiliations

  • IMPA-Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil

    Vladas Sidoravicius

Bibliographic Information

  • Book Title: In and Out of Equilibrium

  • Book Subtitle: Probability with a Physics Flavor

  • Editors: Vladas Sidoravicius

  • Series Title: Progress in Probability

  • DOI: https://doi.org/10.1007/978-1-4612-0063-5

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 2002

  • Hardcover ISBN: 978-0-8176-4289-1Published: 26 April 2002

  • Softcover ISBN: 978-1-4612-6595-5Published: 23 October 2012

  • eBook ISBN: 978-1-4612-0063-5Published: 06 December 2012

  • Series ISSN: 1050-6977

  • Series E-ISSN: 2297-0428

  • Edition Number: 1

  • Number of Pages: VII, 472

  • Topics: Statistical Theory and Methods, Applications of Mathematics, Mathematical Methods in Physics

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