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Random matrix products and measures on projective spaces

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Abstract

The asymptotic behavior of ‖X n X n −1X 1υ‖ is studied for independent matrix-valued random variablesX 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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References

  1. J. L. Doob,Stochastic Processes, Wiley, New York, 1953.

    MATH  Google Scholar 

  2. H. Furstenberg,Noncommuting random products, Trans. Am. Math. Soc.108 (1963), 377–428.

    Article  MATH  MathSciNet  Google Scholar 

  3. H. Furstenberg and H. Kesten,Products of random matrices, Ann. Math. Stat.31 (1960), 457–469.

    MathSciNet  MATH  Google Scholar 

  4. H. Hennion,Loi des grands nombres et perturbations pour des produit reductibles de matrices aléatoires indépendantes, preprint, 1983.

  5. Y. Kifer,Perturbations of random matrix products, Z. Wahrscheinlichkeitstheor. Verw. Geb.61 (1982), 83–95.

    Article  MATH  MathSciNet  Google Scholar 

  6. Y. Kifer and E. Slud,Perturbations of random matrix products in a reducible case, inErgodic Theory and Dynamical Systems, to appear.

  7. J. F. C. Kingman,Subadditive ergodic theory, Ann. Probab.1 (198?), 883–909.

    MathSciNet  Google Scholar 

  8. V. I. Oseledec,A multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems. Trans. Mosc. Math. Soc.19 (1968), 197–221.

    MathSciNet  Google Scholar 

  9. M. S. Raghunathan,A proof of Oseledec's multiplicative ergodic theorem, Isr. J. Math.32 (1979), 356–362.

    Article  MATH  MathSciNet  Google Scholar 

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Furstenberg, H., Kifer, Y. Random matrix products and measures on projective spaces. Israel J. Math. 46, 12–32 (1983). https://doi.org/10.1007/BF02760620

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  • DOI: https://doi.org/10.1007/BF02760620

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