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Random Graphs, Phase Transitions, and the Gaussian Free Field - PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5-30, 2017 (Hardcover, 1st ed. 2020)
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Random Graphs, Phase Transitions, and the Gaussian Free Field - PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5-30, 2017 (Hardcover, 1st ed. 2020)
Series: Springer Proceedings in Mathematics & Statistics, 304
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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.
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