Mathematical Sciences Research Institute

Home » Two Charge Ensembles on the Line.


Two Charge Ensembles on the Line. September 29, 2010
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Christopher Sinclair
Description No Description
No Video Uploaded

We consider an ensemble of charged particles on the line in the harmonic oscillator potential. Some number of the particles have charge 1 and the remaining have charge 2 and we constrain the ensemble to have a total charge of N. This ensemble is solvable, in that the particles form a Pfaffian point process on the line. A parameter (the fugacity) controls the proportion of particles, and the ensemble interpolates with this parameter between GOE and GSE. I will talk about global results: the density function for the number of each particle, as well as the spatial density of each type of particle for a value of the fugacity which connects this ensemble to Ginibre?s real ensemble. This is joint work with B Rider and Y Xu.

No Notes/Supplements Uploaded No Video Files Uploaded