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Selected Works of Oded Schramm

  • Book
  • © 2011

Overview

Editors:
  1. Itai Benjamini

    1. Dept. Mathematics, Weizmann Institute of Science, Rehovot, Israel

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    You can also search for this editor in PubMed   Google Scholar

  2. Olle Häggström

    1. Dept. Mathematical Statistics, Chalmers University of Technology, Göteborg, Sweden

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    You can also search for this editor in PubMed   Google Scholar

  • Provides convenient access to significant papers from a highly regarded author working at a time when many of the foundational building blocks of probability and statistics were being put in place
  • Includes commentaries by important statisticians
  • Includes a complete bibliography
  • Includes supplementary material: sn.pub/extras

Part of the book series: Selected Works in Probability and Statistics (SWPS)

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Table of contents (35 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Geometry

    1. Front Matter

      Pages 1-1
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    2. Oded Schramm: From Circle Packing to SLE

      • Steffen Rohde*
      Pages 3-45Open Access

    3. Illuminating Sets of Constant Width

      • Oded Schramm
      Pages 47-56Open Access

    4. On the Volume of Sets Having Constant Width†

      • Oded Schramm
      Pages 57-61Open Access

    5. Rigidity of Infinite (Circle) Packings

      • Oded Schramm
      Pages 63-85Open Access

    6. How to cage an egg

      • Oded Schramm
      Pages 87-104Open Access

    7. Fixed points, Koebe uniformization and circle packings

      • Zheng-Xu He, Oded Schramm*
      Pages 105-142Open Access

    8. Hyperbolic and Parabolic Packings*

      • Zheng-Xu He, O. Schramm
      Pages 143-169Open Access

    9. Circle Patterns with the Combinatorics of the Square Grid

      • Oded Schramm
      Pages 171-171Open Access

    10. The C∞-convergence of hexagonal disk packings to the Riemann map

      • Zheng-Xu He, Oded Schramm
      Pages 215-241Open Access

    11. Embeddings of Gromov Hyperbolic Spaces

      • M. Bonk, O. Schramm
      Pages 243-284Open Access

  3. Noise Sensitivity

    1. Front Matter

      Pages 302-302
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    2. Oded Schramm’s contributions to Noise Sensitivity

      • Christophe Garban*
      Pages 287-350Open Access

    3. Noise Sensitivity of Boolean Functions and Applications to Percolation

      • Itai Benjamini, Gn. Kalai, Oded Schramm
      Pages 351-389Open Access

    4. Quantitative noise sensitivity and exceptional times for percolation

      • Oded Schramm, Jeffrey E. Steif
      Pages 391-444Open Access

    5. The Fourier spectrum of critical percolation

      • Christophe Garban, Gábor Pete, Oded Schramm*
      Pages 445-530Open Access

  4. Random Walks and Graph Limits

    1. Front Matter

      Pages 531-531
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    2. Recurrence of Distributional Limits of Finite Planar Graphs

      • Itai Benjamini, Oded Schramm
      Pages 533-545Open Access

    3. Uniform Infinite Planar Triangulations

      • Omer Angel, Oded Schramm
      Pages 547-569Open Access
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Keywords

About this book

This volume is dedicated to the memory of the late Oded Schramm (1961-2008), distinguished mathematician. Throughout his career, Schramm made profound and beautiful contributions to mathematics that will have a lasting influence.

In these two volumes, Editors Itai Benjamini and Olle Häggström have collected some of his papers, supplemented with three survey papers by Steffen Rohde, Häggström and Cristophe Garban that further elucidate his work. The papers within are a representative collection that shows the breadth, depth, enthusiasm and clarity of his work, with sections on Geometry, Noise Sensitivity, Random Walks and Graph Limits, Percolation, and finally Schramm-Loewner Evolution. An introduction by the Editors and a comprehensive bibliography of Schramm's publications complete the volume. The book will be of especial interest to researchers in probability and geometry, and in the history of these subjects.

Editors and Affiliations

  • Dept. Mathematics, Weizmann Institute of Science, Rehovot, Israel

    Itai Benjamini

  • Dept. Mathematical Statistics, Chalmers University of Technology, Göteborg, Sweden

    Olle Häggström

Bibliographic Information

  • Book Title: Selected Works of Oded Schramm

  • Editors: Itai Benjamini, Olle Häggström

  • Series Title: Selected Works in Probability and Statistics

  • DOI: https://doi.org/10.1007/978-1-4419-9675-6

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2011

  • Hardcover ISBN: 978-1-4419-9674-9Published: 12 August 2011

  • Softcover ISBN: 978-1-4939-4042-4Published: 23 August 2016

  • eBook ISBN: 978-1-4419-9675-6Published: 12 August 2011

  • Series ISSN: 2197-5825

  • Series E-ISSN: 2197-5833

  • Edition Number: 1

  • Number of Pages: XLII, 1247

  • Number of Illustrations: 1235 b/w illustrations

  • Topics: Statistical Theory and Methods

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