Random Graphs, Phase Transitions, and the Gaussian Free Field : PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5–30, 2017. 1st ed. 2020

種類:

電子ブック

責任表示:

edited by Martin T. Barlow, Gordon Slade

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Barlow, Martin T.
• Slade, Gordon.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 304

ISBN:

9783030320119 [3030320111]    

注記:

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 Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017. It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures. The lecture notes contained in this volume provide introductory accounts of three of the most active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research: Scaling limits of random trees and random graphs (Christina Goldschmidt) Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin) Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup) Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.

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