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Trees

Workshop in Versailles, June 14–16 1995

  • Conference proceedings
  • © 1996

Overview

Editors:
  1. Brigitte Chauvin

    1. Université de Versailles Saint-Quentin, Versailles Cedex, France

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  2. Serge Cohen

    1. Université de Versailles Saint-Quentin, Versailles Cedex, France

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  3. Alain Rouault

    1. Université de Versailles Saint-Quentin, Versailles Cedex, France

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Part of the book series: Progress in Probability (PRPR, volume 40)

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Table of contents (11 papers)

  1. Front Matter

    Pages i-viii
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  2. Disordered Systems

    1. Front Matter

      Pages 1-1
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    2. Extremality of the Disordered State for the Ising Model on General Trees

      • Dmitry Ioffe
      Pages 3-14

    3. Trees in the Time-Scale Domain

      • Stéphane Jaffard
      Pages 15-24

    4. Random Measures on Trees and Thermodynamic Formalism

      • F. Koukiou
      Pages 25-28

  4. Ultrametric and Algebraic Aspects of Trees

    1. Front Matter

      Pages 107-107
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    2. Groupes d’automorphismes et frontières d’arbres: le cas homogène

      • Francis M. Choucroun
      Pages 109-121

    3. Trees and Non-Archimedean Topologies

      • G. Christol
      Pages 123-131

  5. Large Deviations

    1. Front Matter

      Pages 133-133
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    2. Arbres et Grandes Déviations

      • Albert Benassi
      Pages 135-140

    3. Large Deviation Principles for Random Fields on a Binary Tree

      • Nina Gantert
      Pages 141-147

  6. Back Matter

    Pages 149-158
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Keywords

About this book

This volume contains the proceedings of the vVorkshop on Trees held in Versailles on 14-16 June 1995. Why: a workshop on trees? Two main reasons motivated this workshop. First, the current plethora of tree representations in branching processes which has be­ come obvious by the Minneapolis IMA Congress Classica] and Modern Branching Processes in 1994. But this would not have been sufficient to organize an "n-th" congress on branching processes. Secondly, regular discussions with researchers in algebra and computing sciences at the University of Versailles and at INRIA (lnstitut National de Recherche en Informatique et Automatique) convinced us it would be fruitful to offer the workers in these different fields the opportunity to exchange their points of view on the subject. The organizers being probabilists, a large part of the meeting (two sessions) was devoted t~ probability theor:y (not only branching processes). Nevertheless, the other three sessions focused on algorithms, on ultrametric and combinatorial aspects of trees and on disordered systems. Most papers in this volume are both of high level and of pedagogical interest. They are intended for a large public, including graduate students looking for an initiation to tree structures. The papers have been grouped into four sections: - disordered systems, - probability and trees, - large deviations, - ultrametric and algebraic aspects of trees. Some of the speakers are, unfortunately, not represented in this volume.

Editors and Affiliations

  • Université de Versailles Saint-Quentin, Versailles Cedex, France

    Brigitte Chauvin, Serge Cohen, Alain Rouault

Bibliographic Information

  • Book Title: Trees

  • Book Subtitle: Workshop in Versailles, June 14–16 1995

  • Editors: Brigitte Chauvin, Serge Cohen, Alain Rouault

  • Series Title: Progress in Probability

  • DOI: https://doi.org/10.1007/978-3-0348-9037-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag Basel, P.O. Box 133, CH-4010 Basel 1996

  • Softcover ISBN: 978-3-0348-9879-9Published: 21 October 2011

  • eBook ISBN: 978-3-0348-9037-3Published: 06 December 2012

  • Series ISSN: 1050-6977

  • Series E-ISSN: 2297-0428

  • Edition Number: 1

  • Number of Pages: VIII, 158

  • Topics: Discrete Mathematics, Mathematics, general

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