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Personal Profile of Dr. Nicholas Michael Ercolani

Dr. Nicholas Michael Ercolani

Professor

University of Arizona

Department of Mathematics

Professor

University of Arizona

Department of Mathematics

ORCID: https://orcid.org/0000-0003-2010-4205

• Talks

1. October 20, 2010 (03:30 PM PDT - 04:30 PM PDT)

   Seminar Cycle Structure of Random Permutations with Cycle Weights

2. September 13, 2010 - September 17, 2010

   Workshop Random Matrix Theory and Its Applications I

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   Sep 14, 2010 Tuesday

   02:00 PM - 02:40 PM   Cluster Expansions, Caustics and Counting Graphs Nicholas Ercolani (University of Arizona) Location -- Video Abstract The main result to be described in this talk is the derivation of universal formulas for the generating functions (that enumerate graphs on Riemann surfaces -- g-maps) appearing as coefficients of the large N genus expansion for the free energy of unitary ensembles of Hermetian random matrices. Time permitting we will also describe applications of these results which include new information about the double scaling limit of the free energy for these ensembles and the asymptotics of generating functions for graphical enumeration. Supplements v0181 4.93 MB application/pdf Show Detail