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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)
  6. Remarks concerning the Lyapunov exponents of linear cocycles
 
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Remarks concerning the Lyapunov exponents of linear cocycles
Russell, Johnson
•
Zampogni, Luca
2012
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ISSN
0049-4704
http://hdl.handle.net/10077/8276
  • Article

Abstract
We impose a condition of pointwise convergence on the Lyapunov exponents of a d-dimensional cocycle over a compact metric minimal flow. This condition turns out to have significant consequences for the dynamics of the cocycle. We make use of such classical ODE techniques as the Lyapunov-Perron triangularization method, and the ergodic-theoretical techniques of Krylov and Bogoliubov.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Subjects
  • Lyapunov exponent

  • Sacker-Sell spectrum

  • discrete spectrum

Publisher
EUT Edizioni Università di Trieste
Source
Russell Johnson, Luca Zampogni, "Remarks concerning the Lyapunov exponents of linear cocycles", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 89–116.
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