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Formal matrix integrals and combinatorics of maps. (English) Zbl 1257.81052

Harnad, John (ed.), Random matrices, random processes and integrable systems. Berlin: Springer (ISBN 978-1-4419-9513-1/hbk; 978-1-4419-9514-8/ebook). CRM Series in Mathematical Physics, 415-442 (2011).
Summary: This article is a short review on the relationship between convergent matrix integrals, formal matrix integrals, and combinatorics of maps.
For the entire collection see [Zbl 1215.15002].

MSC:

81T10 Model quantum field theories
15B52 Random matrices (algebraic aspects)
81R12 Groups and algebras in quantum theory and relations with integrable systems
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory

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