Random Graphs, Phase Transitions, and the Gaussian Free Field: PIMS-CRM Summer School in Probability,...

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Martin T. Barlow Gordon Slade

Random Graphs, Phase Transitions, and the Gaussian Free Field

PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5–30, 2017

Martin T. Barlow, Gordon Slade

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English

Springer Nature Switzerland AG
04 December 2019

Probability & statistics; Combinatorics & graph theory; Stochastics; Maths for computer scientists

Series: Springer Proceedings in Mathematics & Statistics

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.

Edited by: Martin T. Barlow, Gordon Slade
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2020 ed.
Volume: 304
Dimensions: Height: 235mm, Width: 155mm,
Weight: 805g
ISBN: 9783030320102
ISBN 10: 3030320103
Series: Springer Proceedings in Mathematics & Statistics
Pages: 407
Publication Date: 04 December 2019
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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).