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Perturbations of random matrix products in a reducible case

Published online by Cambridge University Press:  19 September 2008

Yuri Kifer
Affiliation:
Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel
Eric Slud
Affiliation:
Department of Mathematics, University of Maryland, College Park, Mary land 20742, USA
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Abstract

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It is known that for any sequence X1, X2…, of identically distributed independent random matrices with a common distribution μ. the limit

exists with probability 1. We study some conditions under which Λ(μk)→Λ(μ) provided μk → μ in the weak sense.

Information

Type
Research Article
Copyright
Copyright © Cambridge University Press 1982