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Open Math Notes

Resources and inspiration for math instruction and learning

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto

contact


Nathanaël Berestycki
Universität Wien
Ellen Powell
Durham University
Reference #
OMN:202103.111291

Attributes

Posted date
2021-03-25 13:03:46
Revised date
2021-04-08 07:09:54
Level
   Graduate
Notes type
   Topics Course
Topic
   Mathematical Physics
      Statistical Physics
   Probability
      Stochastic Process
      Other

Gaussian free field, Liouville quantum gravity and Gaussian multiplicative chaos

These lecture notes are intended to be an introduction to the two-dimensional continuum Gaussian free field, Liouville quantum gravity and the general theory of Gaussian multiplicative chaos.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v4 PDF (7.3M) 04/09/21