Random matrix products and measures on projective spaces

H. Furstenberg; Y. Kifer

doi:10.1007/BF02760620

Random matrix products and measures on projective spaces

H. Furstenberg^*
, Y. Kifer

^*Corresponding author for this work

Einstein Institute of Mathematics

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

106 Scopus citations

Abstract

The asymptotic behavior of {norm of matrix}X_n X_n -1...X₁υ{norm of matrix} is studied for independent matrix-valued random variables X_n . The main tool is the use of auxiliary measures in projective space and the study of markov processes on projective space.

Original language	English
Pages (from-to)	12-32
Number of pages	21
Journal	Israel Journal of Mathematics
Volume	46
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02760620
State	Published - Jun 1983

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title = "Random matrix products and measures on projective spaces",

abstract = "The asymptotic behavior of \{norm of matrix\}X n X n -1...X 1υ\{norm of matrix\} is studied for independent matrix-valued random variables X n . The main tool is the use of auxiliary measures in projective space and the study of markov processes on projective space.",

author = "H. Furstenberg and Y. Kifer",

year = "1983",

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AB - The asymptotic behavior of {norm of matrix}X n X n -1...X 1υ{norm of matrix} is studied for independent matrix-valued random variables X n . The main tool is the use of auxiliary measures in projective space and the study of markov processes on projective space.

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Random matrix products and measures on projective spaces

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