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Fractal Geometry and Stochastics V pp 143–154Cite as

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Entropy of Lyapunov-Optimizing Measures of Some Matrix Cocycles

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Part of the book series: Progress in Probability ((PRPR,volume 70))

Abstract

This is an extended version of my talk at the Fractal Geometry and Stochastic V conference in Tabarz. It is based on my joint paper (Bochi and Rams, The entropy of Lyapunov-optimizing measures of some metric cocycles, preprint) with Jairo Bochi (PUC Santiago). Compared with the paper, I’ll skip some details of some proofs, but I’ll try to explain the main idea of our approach.

Mathematics Subject Classification (1991). Primary 15B48 Secondary 37H15, 37D30, 93C30

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-956, Warszawa, Poland

    Michał Rams

Authors
  1. Michał Rams
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Correspondence to Michał Rams .

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Editors and Affiliations

  1. Institut für Mathematik und Informatik, Universität Greifswald, Greifswald, Germany

    Christoph Bandt

  2. Mathematical Institute, University of St Andrews, St Andrews, United Kingdom

    Kenneth Falconer

  3. Institut für Mathematik, Friedrich-Schiller-Universität Jena, Jena, Germany

    Martina Zähle

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Rams, M. (2015). Entropy of Lyapunov-Optimizing Measures of Some Matrix Cocycles. In: Bandt, C., Falconer, K., Zähle, M. (eds) Fractal Geometry and Stochastics V. Progress in Probability, vol 70. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18660-3_9

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