Progress in Probability

In and Out of Equilibrium

Probability with a Physics Flavor

Editors: Sidoravicius, Vladas (Ed.)

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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.

Table of contents (18 chapters)

  • Randomly Coalescing Random Walk in Dimension ≥3

    Berg, J. (et al.)

    Pages 1-45

  • The Single Droplet Theorem for Random Cluster Models

    Alexander, Kenneth

    Pages 47-73

  • Phase Coexistence for the Kac-Ising Models

    Bodineau, Thierry

    Pages 75-111

  • Sharp Estimates for Brownian Non-intersection Probabilities

    Lawler, Gregory F. (et al.)

    Pages 113-131

  • Tagged Particle Distributions or How to Choose a Head at Random

    Liggett, Thomas M.

    Pages 133-162

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-1-4612-0063-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-0-8176-4289-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA
  • ISBN 978-1-4612-6595-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
In and Out of Equilibrium
Book Subtitle
Probability with a Physics Flavor
Editors
  • Vladas Sidoravicius
Series Title
Progress in Probability
Series Volume
51
Copyright
2002
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-0063-5
DOI
10.1007/978-1-4612-0063-5
Hardcover ISBN
978-0-8176-4289-1
Softcover ISBN
978-1-4612-6595-5
Series ISSN
1050-6977
Edition Number
1
Number of Pages
VII, 472
Topics