Mathematical Sciences Research Institute

Home » Workshop » Schedules » Cluster Expansions, Caustics and Counting Graphs

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
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

You will need Quicktime Plugin on your browser. If you are having trouble viewing the video here, please try opening the url in a video player which supports RTSP streams [e.g. QuickTime Player, VLC, MPlayer, etc.]:
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.
16853?type=thumb v0181 4.93 MB application/pdf Download
Video/Audio Files


DVD Video v0181-v0181-MPEG-2.m2v 1.07 GB video/mpeg Download
Audio v0181-v0181-AIFF.aiff 210 MB audio/x-aiff Download
Quicktime v0181-v0181-Quicktime.mov 232 MB video/quicktime rtsp://videos.msri.org/v0181/v0181-v0181-Quicktime.mov Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.