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 (Herausgeber)

Buch | Softcover

XVII, 407 Seiten

2021 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-32013-3 (ISBN)

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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.

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).

Erscheinungsdatum	18.12.2020
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	XVII, 407 p. 110 illus., 33 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	652 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	continuous distributions • Ising Model • phase transition • Potts model • Random Graphs • randomness • Random trees • scaling limits • SSPROB2017
ISBN-10	3-030-32013-8 / 3030320138
ISBN-13	978-3-030-32013-3 / 9783030320133
Zustand	Neuware