Israel Journal of Mathematics

, Volume 32, Issue 4, pp 356–362 | Cite as

A proof of Oseledec’s multiplicative ergodic theorem

  • M. S. Raghunathan


A new proof of a multiplicate ergodic theorem of Oseledec is presented in this paper.


Diagonal Entry Ergodic Theorem Finite Limit Disjoint Cycle Unique Partition 
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  1. 1.
    V. I. Oseledec,A multiplicative ergodic theorem. Ljapunov characteristic numbers for dynamical systems, Trudy Moskov. Mat. Obšč.19 (1968), 179–210; English Translation. Trans. Moscow Math. Soc.19 (1968), 197–231.MathSciNetGoogle Scholar
  2. 2.
    H. Furstenberg and H. Kesten,Products of random matrices, Ann. Math. Statist.31 (1960), 457–469.CrossRefMathSciNetGoogle Scholar
  3. 3.
    Y. Derriennic,Sur le théoreme ergodique sous-additif, C. R. Acad. Sci. Paris281A (1975), 985–988.MathSciNetGoogle Scholar

Copyright information

© The Weizmann Science Press of Israel 1979

Authors and Affiliations

  • M. S. Raghunathan
    • 1
  1. 1.School of MathematicsTata Institute of Fundamental ResearchColaba, BombayIndia

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