Random Graphs, Phase Transitions, and the Gaussian Free Field

PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5-30, 2017
1. Auflage 2020
ISBN: 978-3-030-32010-2
Verlag: Springer International Publishing

Buch, Englisch, Band 304, 407 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 805 g

Reihe: 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.

Zielgruppe

Research

Autoren/Hrsg.

Slade, Gordon

Barlow, Martin T.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Operations Research Graphentheorie

Inhaltsverzeichnis

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).