Open Math Notes

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works in progress hosted by the American Mathematical Society as a service to researchers, teachers and students. These draft works include course notes, textbooks, and research expositions in progress. They have not been published elsewhere, and, as works in progress, are subject to significant revision. Visitors are encouraged to download and use 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
  • Mary Pugh | University of Toronto
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University

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Roland Speicher
Saarland University
MR ID: 264050
Reference #
OMN:201908.110803

Attributes

Posted date
2019-09-04 08:31:28
Revised date
2019-09-04 08:31:28
Level
   Graduate
Notes type
   Topics Course
Topic
   Analysis
      Complex Analysis
      Functional Analysis
   Discrete Mathematics
      Combinatorics
   Probability
      Other

Free Probability Theory

This in an introduction to free probability theory, covering the basic combinatorial and analytic theory, as well as the relations to random matrices and operator algebras. The material here was presented in the winter term 2018/19 at Saarland University in 26 lectures of 90 minutes each. The lectures were recorded and can be found online at
https://www.math.uni-sb.de/ag/speicher/web_video/index.html

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (1.1M) 09/04/19