Continuous subadditive processes and formulae for Lyapunov characteristic exponents

• Autorzy: Wojciech Słomczyński
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Lyapunov exponents; subadditive processes; invariant measures; cocycles

Kategorie tematyczne

• 34D08: Characteristic and Lyapunov exponents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1995
• Tom: 61
• Numer: 2
• Strony: 101-134

Daty

wydano

1995

otrzymano

1992-10-22

poprawiono

1993-11-08

poprawiono

1994-07-22

Twórcy

autor

Wojciech Słomczyński

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

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