2016
Dec
22

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

1:00pm to 2:00pm

## 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.

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.