Cluster Expansions, Caustics and Counting Graphs

Random Matrix Theory and Its Applications I September 13, 2010 - September 17, 2010

September 14, 2010 (02:00 PM PDT - 02:40 PM PDT)

Speaker(s): Nicholas Ercolani (University of Arizona)

Primary Mathematics Subject Classification No Primary AMS MSC

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

v0181

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	Download

Video/Audio Files

v0181

DVD Video	v0181-v0181-MPEG-2.m2v 1.07 GB video/mpeg	Open
Audio	v0181-v0181-AIFF.aiff 210 MB audio/x-aiff	Open
Quicktime	v0181-v0181-Quicktime.mov 232 MB video/quicktime	Open
H.264 Video	v0181-v0181.mp4 258 MB video/mp4	Open

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