Gaussian fluctuations for βEnsembles

2007/03/06 by Rowan Killip, Killip, Rowan
Mathematics · Physics and Astronomy · #15A52 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #math-ph #math.MP #math.PR #msc:15A52

paper · pdf · doi:10.48550/arxiv.math/0703140

arxiv created 2007/03/06 · arxiv updated 2009/12/01

Abstract

We study the Circular and Jacobi β-Ensembles and prove Gaussian fluctuations for the number of points in one or more intervals in the macroscopic scaling limit.

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