A companion to the oseledec multiplicative ergodic theorem

Joseph C. Watkins

doi:10.1090/S0002-9939-1987-0877055-7

A companion to the oseledec multiplicative ergodic theorem

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Abstract

Let F₁, F₂, … b;…tationary sequence of continuously differentiable mappings from [0, 1] into the set o;… d matrices. Assume F_k (0;… for eac;…nd E[sup^0≤p≤1 ‖F′_k(p)′] < ∞. Le;…enote the invariant sigma field for the sequence. Then limit Fⁿ(1/n) F₁(1/n)= exp E[F′₁(0)| I] with probablity one.

Original language	English (US)
Pages (from-to)	772-776
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	99
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1987-0877055-7
State	Published - Apr 1 1987
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1987-0877055-7

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AB - Let F1, F2, … b;…tationary sequence of continuously differentiable mappings from [0, 1] into the set o;… d matrices. Assume Fk (0;… for eac;…nd E[sup0≤p≤1 ‖F′k(p)′] < ∞. Le;…enote the invariant sigma field for the sequence. Then limit Fn(1/n) F1(1/n)= exp E[F′1(0)| I] with probablity one.

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A companion to the oseledec multiplicative ergodic theorem

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