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Lyapunov exponents of random dynamical systems on grassmannians

  • Chapter 1: Linear Random Dynamical Systems
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Lyapunov Exponents

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1486))

Abstract

We investigate the relations between the Lyapunov exponents of a linear random dynamical system and the Lyapunov exponents of the (nonlinear) systems generated by the linear one on the projective space as well as on the higher Graßmann manifolds.

Partially supported by Volkswagen-Stiftung. Part of this work was done while the author was with the Institut für Dynamische Systeme, Universität Bremen.

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References

  1. L. Arnold and V. Wihstutz, pp.1–26 in Lyapunov Exponents. Proceedings. Bremen 1984, L. Arnold and V. Wihstutz (eds.), Lecture Notes in Mathematics 1186, Springer, Berlin 1986

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  2. P. H. Baxendale, The Lyapunov spectrum of a stochastic flow of diffeomorphisms, p.322–337 in Lyapunov Exponents. Proceedings. Bremen 1984, L. Arnold and V. Wihstutz (eds.), Lecture Notes in Mathematics 1186, Springer, Berlin 1986

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  3. P. Bougerol and J. Lacroix, Products of Random Matrices with Applications to Schrödinger Operators, Birkhäuser, Boston 1985

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  4. H. Crauel, Random Dynamical Systems: Positivity of Lyapunov Exponents, and Markov Systems, Dissertation, Universität Bremen 1987

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  5. J.F.C. Kingman, The ergodic theory of subadditive stochastic processes, J. Roy. Statist. Soc. Ser. B 30 (1968) 499–510

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  6. L. H. Loomis and S. Sternberg, Advanced Calculus, Addison-Wesley, Reading (Massachusetts) 1968

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Author information

Authors and Affiliations

  1. Fachbereich 9 Mathematik, Universität des Saarlandes, 6600, Saarbrücken 11, Germany

    Hans Crauel

Authors
  1. Hans Crauel
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Editor information

Ludwig Arnold Hans Crauel Jean-Pierre Eckmann

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© 1991 Springer-Verlag

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Crauel, H. (1991). Lyapunov exponents of random dynamical systems on grassmannians. In: Arnold, L., Crauel, H., Eckmann, JP. (eds) Lyapunov Exponents. Lecture Notes in Mathematics, vol 1486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086656

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  • DOI: https://doi.org/10.1007/BFb0086656

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54662-7

  • Online ISBN: 978-3-540-46431-0

  • eBook Packages: Springer Book Archive

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