On typical properties of level sets of Lyapunov exponents
Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 335-365
Voir la notice de l'article provenant de la source Math-Net.Ru
The level sets of Lyapunov exponents of linearized systems are considered as functions of the linearized Cauchy problem. It is proved that lower semicontinuity is a typical property for these functions. Typicality is understood in the Baire sense: a property is typical if it is possessed by a dense set of points which is a countable intersection of open sets.
Bibliography: 11 titles.
@article{SM_1986_54_2_a3,
author = {V. M. Millionshchikov},
title = {On typical properties of level sets of {Lyapunov} exponents},
journal = {Sbornik. Mathematics},
pages = {335--365},
publisher = {mathdoc},
volume = {54},
number = {2},
year = {1986},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1986_54_2_a3/}
}
V. M. Millionshchikov. On typical properties of level sets of Lyapunov exponents. Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 335-365. http://geodesic.mathdoc.fr/item/SM_1986_54_2_a3/