Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IX, Tome 164 (1987), pp. 30-46
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V. A. Kaimanovich. Lyapunov exponents, symmetric spaces, and a multiplicative ergodic theorem for semisimple Lie groups. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IX, Tome 164 (1987), pp. 30-46. http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a3/
@article{ZNSL_1987_164_a3,
author = {V. A. Kaimanovich},
title = {Lyapunov exponents, symmetric spaces, and a multiplicative ergodic theorem for semisimple {Lie} groups},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {30--46},
year = {1987},
volume = {164},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a3/}
}
TY - JOUR
AU - V. A. Kaimanovich
TI - Lyapunov exponents, symmetric spaces, and a multiplicative ergodic theorem for semisimple Lie groups
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 30
EP - 46
VL - 164
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a3/
LA - ru
ID - ZNSL_1987_164_a3
ER -
%0 Journal Article
%A V. A. Kaimanovich
%T Lyapunov exponents, symmetric spaces, and a multiplicative ergodic theorem for semisimple Lie groups
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 30-46
%V 164
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a3/
%G ru
%F ZNSL_1987_164_a3
The classical theory of dyapunov characteristic exponents is reformulated in invariant geometric terms and developed for arbitrary non-compact semi-simple Lie groups with finite centre. A multiplicative ergodic theorem and a global law of large numbers for semi-simple Lie groups, and criteria for the Lyapunov regularity of linear systems of ordinary differential equations with subexponential growth of coefficients are proved. Bibl. – 21.
