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Random Graphs, Phase Transitions, and the Gaussian Free Field

  • Fester Einband
  • 428 Seiten
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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 Univ... Weiterlesen
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Beschreibung

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.





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



Inhalt
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).

Produktinformationen

Titel: Random Graphs, Phase Transitions, and the Gaussian Free Field
Untertitel: PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5-30, 2017
Editor:
EAN: 9783030320102
ISBN: 3030320103
Format: Fester Einband
Herausgeber: Springer International Publishing
Genre: Mathematik
Anzahl Seiten: 428
Gewicht: 805g
Größe: H241mm x B160mm x T28mm
Jahr: 2019
Auflage: 1st ed. 2020

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