Year: 2015
Type: preprint
Abstract: For beta ensembles with convex poynomial potentials, we prove a large deviation principle for the empirical spectral distribution seen from the rightmost particle. This modified spectral distribution was introduced by Perret and Schehr (J. Stat. Phys. 2014) to study the crowding near the maximal eigenvalue, in the case of the GUE. We prove also convergence of fluctuations.
Source: arXiv (Cornell University)
Authors: Donati-Martin, Catherine, Rouault, Alain
Institution: Laboratoire de Mathématiques de Versailles
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2182387309