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math-phJun 10, 2004
45
citations (OpenAlex)
authors
  • P. Di Francesco
arXiv abstractPDF
paper

2D Quantum Gravity, Matrix Models and Graph Combinatorics

arXiv:math-ph/0406013

Abstract

Lecture notes given at the summer school ``Applications of random matrices to physics", Les Houches, June 2004.

60 pages, 17 figures, uses harvmac and epsf macros, nasty problem with figbox solved

References in corpus (5)

  • Geodesic Distance in Planar Graphs
  • Q-states Potts model on a random planar lattice
  • The first-order phase transition between dimerized-antiferromagnetic and uniform-antiferromagnetic phases in Cu_(1-x)M_xGeO_3
  • Random trees between two walls: Exact partition function
  • The dilute Potts model on random surfaces

Cited by in corpus (7)

  • Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
  • Les Houches lectures on matrix models and topological strings
  • Double scaling limit of the prismatic tensor model
  • A Givental-like Formula and Bilinear Identities for Tensor Models
  • From operads and PROPs to Feynman Processes
  • Valence independent formula for the equilibrium measure
  • On triangulations with high vertex degree
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