Lyapunov exponents, symmetric spaces, and a multiplicative ergodic theorem for semisimple Lie groups

DOI10.1007/BF01840421zbMath0696.22012OpenAlexW2037841843WikidataQ115393143 ScholiaQ115393143MaRDI QIDQ910507

Vadim A. Kaimanovich

Publication date: 1989

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01840421

zbMATH Keywords

law of large numbersmultiplicative ergodic theoremlinear systems of ordinary differential equationssemi-simple Lie groupsLyapunov characteristic exponents

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodic theory on groups (22D40) Semisimple Lie groups and their representations (22E46) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• A proof of Oseledec's multiplicative ergodic theorem
• On representations and compactifications of symmetric Riemannian spaces
• Characteristic exponents and invariant manifolds in Hilbert space
• Groupes reductifs
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