Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble

• Autorzy: Friedrich Götze , Alexander Tikhomirov , Dmitry Timushev
• Języki publikacji: EN

Abstrakty

EN

It is shown that the Kolmogorov distance between the expected spectral distribution function of an n × n matrix from the Deformed Gaussian Ensemble and the distribution function of the semi-circle law is of order O(n −2/3+v ).

Słowa kluczowe

EN

Random matrix theory; Deformed gaussian unitary ensemble; Gaussian unitary ensemble; semicircle law

Kategorie tematyczne

• 60F99: None of the above, but in this section
• 41A60: Asymptotic approximations, asymptotic expansions (steepest descent, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 2
• Strony: 305-334

Daty

wydano

2007-06-01

online

2007-06-01

Twórcy

autor

Friedrich Götze

• University of Bielefeld

autor

Alexander Tikhomirov

autor

Dmitry Timushev

• Syktyvkar State University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-007-0006-4