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Birkhäuser

From Classical to Modern Probability

CIMPA Summer School 2001

  • Book
  • © 2003

Overview

Editors:
  1. Pierre Picco

    1. Centre de Physique Théorique, CNRS, Marseille Cedex 9, France

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  2. Jaime San Martin

    1. Departamento de Ingeniería Matemática, Universidad de Chile, Santiago, Chile

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    You can also search for this editor in PubMed   Google Scholar

  • Covers a broad area in probability
  • Six courses given by leading experts
  • Topics from classical probability theory such as Brownian motion to modern developments such as spin systems and percolation
  • Clear exposition of each subject

Part of the book series: Progress in Probability (PRPR, volume 54)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Asymptotic of the Heat Kernel in Unbounded Domains

    • Pierre Collet
    Pages 1-23

  3. Spin Systems with Long Range Interactions

    • Anna De Masi
    Pages 25-81

  4. Nonlinear Dirichlet Problem and Nonlinear Integration

    • Claude Dellacherie
    Pages 83-92

  5. First-Passage Percolation

    • Harry Kesten
    Pages 93-143

  6. Central Limit Theorem for Markov Processes

    • Claudio Landim
    Pages 145-205

  7. Stochastic Orders and Stopping Times in Brownian Motion

    • Isaac Meilijson
    Pages 207-220

  8. Back Matter

    Pages 220-220
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Keywords

About this book

This volume is based on lectures notes for the courses delivered at the Cimpa Summer School: From Classical to Modern Probability, held at Temuco, Chile, be­ th th tween January 8 and 26 , 2001. This meeting brought together probabilists and graduate students interested in fields like particle systems, percolation, Brownian motion, random structures, potential theory and stochastic processes. We would like to express our gratitude to all the participants of the school as well as the people who contributed to its organization. In particular, to Servet Martinez, and Pablo Ferrari for their scientific advice, and Cesar Burgueiio for all his support and friendship. We want to thank all the professors for their stimulating courses and lectures. Special thanks to those who took the extra work in preparing each chapter of this book. We are also indebted to our sponsors and supporting institutions, whose interest and help was essential to organize this meeting: CIMPA, CNRS, CONI­ CYT, ECOS, FONDAP Program in Applied Mathematics, French Cooperation, Fundacion Andes, Presidential Fellowship, Universidad de Chile and Universidad de La Frontera. We are grateful to Miss Gladys Cavallone for her excellent work during the preparation of the meeting as well as for the considerable task of unifying the typography of the different chapters of this book.

Editors and Affiliations

  • Centre de Physique Théorique, CNRS, Marseille Cedex 9, France

    Pierre Picco

  • Departamento de Ingeniería Matemática, Universidad de Chile, Santiago, Chile

    Jaime San Martin

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