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http://hdl.handle.net/10077/8276| Title: | Remarks concerning the Lyapunov exponents of linear cocycles | Authors: | Russell, Johnson Zampogni, Luca |
Keywords: | Lyapunov exponent; Sacker-Sell spectrum; discrete spectrum | Issue Date: | 2012 | 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. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 44 (2012) |
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. |
Type: | Article | URI: | http://hdl.handle.net/10077/8276 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Johnson_Zampogni_RIMUT44.pdf | 348.75 kB | Adobe PDF |  View/Open |
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