Dyson gas on a curved contour

We introduce and study a model of a logarithmic gas with inverse temperature β on an arbitrary smooth closed contour in the plane. This model generalizes Dyson's gas (the β-ensemble) on the unit circle. We compute the non-vanishing terms of the large N expansion of the free energy (N is the num...

Full description

Bibliographic Details
Main Authors: Wiegmann, P. (Author), Zabrodin, A. (Author)
Format: Article
Language:English
Published: IOP Publishing Ltd 2022
Subjects:
Online Access:View Fulltext in Publisher