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Absolute continuity of the limiting eigenvalue distribution of the random Toeplitz matrix

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Absolute continuity of the limiting eigenvalue distribution of the random Toeplitz matrix
2.	Creator	Author's name, affiliation, country	Arnab Sen; University of Cambridge; United Kingdom
2.	Creator	Author's name, affiliation, country	Balint Virag; University of Toronto; Canada
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Toeplitz matrix, eigenvalue distribution, spectral averaging
3.	Subject	Subject classification	35P20; 60B20
4.	Description	Abstract	We show that the limiting eigenvalue distribution of random symmetric Toeplitz matrices is absolutely continuous with density bounded by 8, partially answering a question of Bryc, Dembo and Jiang (2006). The main tool used in the proof is a spectral averaging technique from the theory of random Schrödinger operators. The similar question for Hankel matrices remains open
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	The first author is supported by EPSRC grant EP/G055068/1
7.	Date	(YYYY-MM-DD)	2011-11-20
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1675
10.	Identifier	Digital Object Identifier	10.1214/ECP.v16-1675
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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