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Lectures on Probability Theory and Statistics

Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997

  • Book
  • © 1999

Overview

Authors:
  1. Jean Bertoin
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  2. Fabio Martinelli
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  3. Yuval Peres
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Editors:
  1. Pierre Bernard
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1717)

Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-IX
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  2. Subordinators: Examples and Applications

    • Jean Bertoin
    Pages 1-91

  3. Lectures on Glauber Dynamics for Discrete Spin Models

    • Fabio Martinelli
    Pages 93-191

  4. Probability on Trees: An Introductory Climb

    • Yuval Peres
    Pages 193-280

  5. Back Matter

    Pages 281-289
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Keywords

About this book

Part I, Bertoin, J.: Subordinators: Examples and Applications:
Foreword.- Elements on subordinators.- Regenerative property.- Asymptotic behaviour of last passage times.- Rates of growth of local time.- Geometric properties of regenerative sets.- Burgers equation with Brownian initial velocity.- Random covering.- Lévy processes.- Occupation times of a linear Brownian motion.-

Part II, Martinelli, F.: Lectures on Glauber Dynamics for Discrete Spin Models: Introduction.- Gibbs Measures of Lattice Spin Models.- The Glauber Dynamics.- One Phase Region.- Boundary Phase Transitions.- Phase Coexistence.- Glauber Dynamics for the Dilute Ising Model.-

Part III, Peres, Yu.: Probability on Trees: An Introductory Climb: Preface.- Basic Definitions and a Few Highlights.- Galton-Watson Trees.- General percolation on a connected graph.- The first-Moment method.- Quasi-independent Percolation.- The second Moment Method.- Electrical Networks.- Infinite Networks.- The Method of Random Paths.- Transience of Percolation Clusters.- Subperiodic Trees.- The Random Walks RW (lambda) .- Capacity.-.Intersection-Equivalence.- Reconstruction for the Ising Model on a Tree,- Unpredictable Paths in Z and EIT in Z3.- Tree-Indexed Processes.- Recurrence for Tree-Indexed Markov Chains.- Dynamical Pecsolation.- Stochastic Domination Between Trees.

Bibliographic Information

  • Book Title: Lectures on Probability Theory and Statistics

  • Book Subtitle: Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997

  • Authors: Jean Bertoin, Fabio Martinelli, Yuval Peres

  • Editors: Pierre Bernard

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b72002

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 1999

  • Softcover ISBN: 978-3-540-66593-9Published: 17 November 1999

  • eBook ISBN: 978-3-540-48115-7Published: 03 September 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 298

  • Topics: Probability Theory and Stochastic Processes, Statistical Theory and Methods

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