Overview
- 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
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 304)
Included in the following conference series:
Conference proceedings info: SSPROB 2017.
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Table of contents (3 papers)
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Random Graphs, Phase Transitions, and the Gaussian Free Field
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About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Random Graphs, Phase Transitions, and the Gaussian Free Field
Book Subtitle: PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5–30, 2017
Editors: Martin T. Barlow, Gordon Slade
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-3-030-32011-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-32010-2Published: 04 December 2019
Softcover ISBN: 978-3-030-32013-3Published: 21 January 2021
eBook ISBN: 978-3-030-32011-9Published: 03 December 2019
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XVII, 407
Number of Illustrations: 77 b/w illustrations, 33 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Graph Theory, Probability and Statistics in Computer Science