Geodesic
Continuous subadditive processes and formulae for Lyapunov characteristic exponents
Annales Polonici Mathematici, Tome 61 (1995) no. 2, pp. 101-134 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Asymptotic properties of various semidynamical systems can be examined by means of continuous subadditive processes. To investigate such processes we consider different types of exponents: characteristic, central, singular and global exponents and we study their properties. We derive formulae for central and singular exponents and show that they provide upper bounds for characteristic exponents. The concept of conjugate processes introduced in this paper allows us to find lower bounds for characteristic exponents. We also give applications to continuous cocycles.
DOI : 10.4064/ap-61-2-101-134
Keywords: Lyapunov exponents, subadditive processes, invariant measures, cocycles

Wojciech Słomczyński 1

1 
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Wojciech Słomczyński. Continuous subadditive processes and formulae for Lyapunov characteristic exponents. Annales Polonici Mathematici, Tome 61 (1995) no. 2, pp. 101-134. doi: 10.4064/ap-61-2-101-134

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