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Progress in Probability

Trees

Workshop in Versailles, June 14–16 1995

Editors: Chauvin, Brigitte, Cohen, Serge, Rouault, Alain (Eds.)

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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.

Table of contents (11 chapters)

  • Extremality of the Disordered State for the Ising Model on General Trees

    Ioffe, Dmitry

    Pages 3-14

  • Trees in the Time-Scale Domain

    Jaffard, Stéphane

    Pages 15-24

  • Random Measures on Trees and Thermodynamic Formalism

    Koukiou, F.

    Pages 25-28

  • Branching Random Walk: Seneta-Heyde norming

    Biggins, J. D. (et al.)

    Pages 31-49

  • The Growth of an Entire Characteristic Fonction and the Tail Probabilities of the Limit of a Tree Martingale

    Liu, Quansheng

    Pages 51-80

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-0348-9037-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-7643-5453-4
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $139.00
price for USA
  • ISBN 978-3-0348-9879-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Series Volume
40
Copyright
1996
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag Basel, P.O. Box 133, CH-4010 Basel
eBook ISBN
978-3-0348-9037-3
DOI
10.1007/978-3-0348-9037-3
Hardcover ISBN
978-3-7643-5453-4
Softcover ISBN
978-3-0348-9879-9
Series ISSN
1050-6977
Edition Number
1
Number of Pages
VIII, 158
Topics