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Analysis and PDE's Seminar -- Percy Deift (Courant) | Einstein Institute of Mathematics

Analysis and PDE's Seminar -- Percy Deift (Courant)

Date: 
Thu, 22/12/201613:00-14:00
Location: 
Ross 70
On the Asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential.
T.Bothner, P.Deift, A.Its and I.Krasovsky
Abstract: We study the partition function Z of a Coulomb gas of particles with an external potential 2v applied to the
particles in an interval of length L. When v is infinite, Z describes the gap probability for GUE eigenvalues in the bulk scaling limit,
and has been well-studied for many years. Here we study the the behavior of Z in the full (v,L) plane.