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Distributions of Invariant Ensembles from the Classical Orthogonal Polynimials: the Discrete Case

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1.	Title	Title of document	Distributions of Invariant Ensembles from the Classical Orthogonal Polynimials: the Discrete Case
2.	Creator	Author's name, affiliation, country	Michel Ledoux; Université Toulouse
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	Abstract	We examine the Charlier, Meixner, Krawtchouk and Hahn discrete orthogonal polynomial ensembles, deeply investigated by K. Johansson, using integration by parts for the underlying Markov operators, differential equations on Laplace transforms and moment equations. As for the matrix ensembles, equilibrium measures are described as limits of empirical spectral distributions. In particular, a new description of the equilibrium measures as adapted mixtures of the universal arcsine law with an independent uniform distribution is emphasized. Factorial moment identities on mean spectral measures may be used towards small deviation inequalities on the rightmost charges at the rate given by the Tracy-Widom asymptotics.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2005-09-09
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/282
10.	Identifier	Digital Object Identifier	10.1214/EJP.v10-282
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 10
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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