A formula with some applications to the theory of Lyapunov exponents
نویسندگان
چکیده
منابع مشابه
A Formula with Some Applications to the Theory of Lyapunov Exponents
We prove an elementary formula about the average expansion of certain products of 2 by 2 matrices. This permits us to quickly re-obtain an inequality by M. Herman and a theorem by Dedieu and Shub, both concerning Lyapunov exponents. Indeed, we show that equality holds in Herman’s result. Finally, we give a result about the growth of the spectral radius of products.
متن کاملA Formula with Some Aplications to the Theory of Lyapunov Exponents
We prove an elementary formula about the average expansion of certain products of matrices. This permits us to quickly reobtain an inequality by M. Herman and a theorem by Dedieu and Shub, both concerning Lyapunov exponents. Indeed, we show that equality holds in Herman’s result.
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2002
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02785853