Random matrices and enumeration of maps
Alice Guionnet
Massachusetts Institute of Technology, Cambridge, United States
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Abstract
We review recent developments in random matrix theory related with the enumeration of connected oriented graphs called maps. In particular, we show that the long standing use of matrix integrals in physics to tackle such issues can be made rigorous and discuss some applications. This talk is based on joint works with E. Maurel-Segala and O. Zeitouni.