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Random Graphs, Phase Transitions, and the Gaussian Free Field


Random Graphs, Phase Transitions, and the Gaussian Free Field

PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5-30, 2017
Springer Proceedings in Mathematics & Statistics, Band 304

von: Martin T. Barlow, Gordon Slade

CHF 212.50

Verlag: Springer
Format: PDF
Veröffentl.: 03.12.2019
ISBN/EAN: 9783030320119
Sprache: englisch

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Beschreibungen

<p></p><p>The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the&nbsp;Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during&nbsp;June 5-30, 2017.&nbsp;It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures.</p>

The lecture notes contained in this volume provide introductory accounts of three of the most&nbsp;active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research:<p></p>

<ul> <li>Scaling limits of random trees and random graphs (Christina Goldschmidt)</li><li>Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin)</li><li>Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup)</li> </ul> <p>Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.</p><br><br><p></p>
Scaling Limits of Random Trees and Random Graphs (C. Goldschmidt).- Lectures on the Ising and Potts Models on the Hypercubic Lattice (H. Duminil-Copin).- Extrema of the Two-Dimensional Discrete Gaussian Free Field (M. Biskup).
The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the&nbsp;Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during&nbsp;June 5-30, 2017.&nbsp;It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures.<div><br>The lecture notes contained in this volume provide introductory accounts of three of the most&nbsp;active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research:<p></p><ul><li>Scaling limits of random trees and random graphs (Christina Goldschmidt)</li><li>Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin)</li><li>Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup)</li></ul><p>Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.</p><div><br></div></div>
Provides introductory accounts of some of the most active and fascinating areas of research in modern probability theory Contains a thorough introduction to each mini-course that will be of value to both beginners and experts Presents topics of considerable contemporary interest in a careful and clear manner

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