Random tensors

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Bibliographic Details
Main Author: Gurǎu, Rǎzvan (Author)
Format: Book/Monograph
Language:English
Published: Oxford Oxford University Press 2017
Edition:First edition
Subjects:
Online Access:Verlag, Zentralblatt MATH, Inhaltstext: https://zbmath.org/?q=an:1371.81007
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Author Notes:Rǎzvan Gurǎu (CNRS, École Polytechnique, Université Paris-Saclay, France)
Table of Contents:
  • Toolbox for random tensors. Preliminaries
  • Generalities on edge colored graphs
  • The classification of edge colored graphs
  • Melonic graphs
  • The universality theorem
  • Random tensor models. A digest of matrix models
  • The perturbative expansion of tensor models
  • The quartic tensor model
  • The double scaling limit
  • Symmetry breaking
  • Conclusions
  • Appendices. The Weingarten functions revisited
  • Probability measures
  • Borel summability
  • The BKAR formula