© 1994

Probability and Phase Transition

  • Geoffrey Grimmett

Part of the NATO ASI Series book series (ASIC, volume 420)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Roland L. Dobrushin, Senya B. Shlosman
    Pages 17-34
  3. Geoffrey Grimmett
    Pages 69-86
  4. Takashi Hara, Gordon Slade
    Pages 87-122
  5. Frank den Hollander
    Pages 123-137
  6. A. Kupiainen
    Pages 177-189
  7. M. V. Menshikov
    Pages 227-236
  8. R. Pemantle, Y. Peres
    Pages 261-264

About this book


This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability.
The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.


Markov chain Probability theory Renormalization group contact process interacting particle system random walk

Editors and affiliations

  • Geoffrey Grimmett
    • 1
  1. 1.Statistical LaboratoryUniversity of CambridgeCambridgeUK

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