Bertrand EYNARD
French           
email: bertrand (dot) eynard (at) cea (dot) fr autableau
(photo L. Chekhov)

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Institut de Physique Théorique


Direction des Sciences de la Matière

CEA-Saclay
Direction


Bertrand EYNARD

Phone. +00 41 22 76 72 240









Research topics

Random Matrices, random geometries, and applications to:

    * Quantum gravity and string theory
    * Boundary operators and conformal field theory
    * Intégrables systems, Tau-functions, geometry
    * Universality of correlated random variables
    * combinatorics of graphs, trees, and lattices of given topology.
    * Orthogonal polynomials
    * Critical points
Book in preparation:

"Counting surfaces"

Table of contents (see here)

  • chapter 1 (introduction to maps)
  • chapter 2 (formal matrix integrals)
  • chapter 3 (Solution of loop equations)
  • chapter 4 (multicut case)
  • chapter 5 (Large maps and Liouville gravity)
  • chapter 6 (counting Riemann surfaces)
  • chapter 7 (Symplectic invariants)
  • chapter 8 (Maps with an Ising model)

Publications

base CEA
and
arxiv
and
spires
affcol

Networks

  • 2009-2011ANR GranMa
  • 2005-2008  Enrage (Random Geometry )
  • 2005-2008  Enigma (Integrability, Geometry and random matrices)
  • 2000-2004  Eurogrid (Random Geometry )
wignerTalks
and
Conferences
surfgStudents

  • 2004-07: Nicolas Orantin
  • 2007-10: Olivier Marchal
  • 2008-11: Gaetan Borot