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A new proof of the Herman-Avila-Bochi formula for Lyapunov exponents of SL(2,R)-cocycles
- Publication Year :
- 2010
-
Abstract
- We study the geometry of the action of SL(2,R) on the projective line in order to present a new and simpler proof of the Herman-Avila-Bochi formula. This formula gives the average Lyapunov exponent of a class of 1-families of SL(2,R)-cocycles.<br />Comment: 13 pages, 2 figures
- Subjects :
- Mathematics - Dynamical Systems
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1004.4800
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/0951-7715/24/9/004