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math-phFeb 4, 2009
39
citations (OpenAlex)
authors
  • Michel Bergère
  • Bertrand Eynard
institutions
  • CEA Paris-Saclay
  • Commissariat à l'Énergie Atomique et aux Énergies Alternatives
  • Institut de Physique Théorique
arXiv abstractPDF
paper

Determinantal formulae and loop equations

arXiv:0901.3273

Abstract

We prove that the correlations functions, generated by the determinantal process of the Christoffel-Darboux kernel of an arbitrary order 2 ODE, do satisfy loop equations.

Latex, 35 pages few misprints corrected

Cited by in corpus (2)

  • Algebraic methods in random matrices and enumerative geometry
  • Universal scaling limits of matrix models, and (p,q) Liouville gravity
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