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.
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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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DOI: https://doi.org/10.1007/978-3-540-69897-5_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69896-8
Online ISBN: 978-3-540-69897-5
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