Perturbations of random matrix products in a reducible case

Yuri Kifer; Eric Slud

doi:10.1017/S0143385700001668

Perturbations of random matrix products in a reducible case

Yuri Kifer
, Eric Slud

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

It is known that for any sequence X₁, X₂…, of identically distributed independent random matrices with a common distribution μ. the limit [formula omited]exists with probability 1. We study some conditions under which Λ(μ_k)→Λ(μ) provided μ_k → μ in the weak sense.

Original language	English
Pages (from-to)	367-382
Number of pages	16
Journal	Ergodic Theory and Dynamical Systems
Volume	2
Issue number	3-4
DOIs	https://doi.org/10.1017/S0143385700001668
State	Published - Dec 1982

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abstract = "It is known that for any sequence X1, X2…, of identically distributed independent random matrices with a common distribution μ. the limit [formula omited]exists with probability 1. We study some conditions under which Λ(μk)→Λ(μ) provided μk → μ in the weak sense.",

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AB - It is known that for any sequence X1, X2…, of identically distributed independent random matrices with a common distribution μ. the limit [formula omited]exists with probability 1. We study some conditions under which Λ(μk)→Λ(μ) provided μk → μ in the weak sense.

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Perturbations of random matrix products in a reducible case

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