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Maps and Gaussian calculus

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Part of the Lecture Notes in Mathematics book series (LNMECOLE,volume 1957)

Abstract

We start this chapter by introducing non-commutative polynomials and their relations with special vertices called stars. We then relate the enumeration of the maps buildt upon such vertices with the formal expansion of Gaussian matrix integrals.

Keywords

  • Limit Point
  • Formal Expansion
  • Matrix Integral
  • Bibliographical Note
  • Special Vertex

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Correspondence to Alice Guionnet .

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© 2009 Springer-Verlag Berlin Heidelberg

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Guionnet, A. (2009). Maps and Gaussian calculus. In: Large Random Matrices: Lectures on Macroscopic Asymptotics. Lecture Notes in Mathematics(), vol 1957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69897-5_8

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