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Lyapunov Exponents of Linear Cocycles

Part of the book series: Atlantis Studies in Dynamical Systems ((ASDS,volume 3))

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Abstract

We introduce the concepts of linear cocycles, Lyapunov exponents and Oseledets filtration. We formulate the assumptions on the space of linear cocycles and describe the central topic of this monograph, establishing continuity properties of the Lyapunov exponents and of the Oseledets decomposition. We provide a summary of the results in this monograph and review the relevant literature. As a preview of the methods used in this monograph, we present a sketch of a new proof of the multiplicative ergodic theorem.

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Authors and Affiliations

  1. Faculdade de Ciências, Universidade de Lisboa, 1749-016, Lisbon, Portugal

    Pedro Duarte

  2. Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), NO-7491, Trondheim, Norway

    Silvius Klein

Authors
  1. Pedro Duarte
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  2. Silvius Klein
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Correspondence to Pedro Duarte .

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Duarte, P., Klein, S. (2016). Introduction. In: Lyapunov Exponents of Linear Cocycles. Atlantis Studies in Dynamical Systems, vol 3. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-124-6_1

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