Geodesic
On typical properties of level sets of Lyapunov exponents
Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 335-365 
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/
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     author = {V. M. Millionshchikov},
     title = {On typical properties of level sets of {Lyapunov} exponents},
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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.

[1] Khyuzmoller D., Rassloennye prostranstva, Mir, M., 1970

[2] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. X”, Differents. uravneniya, 18:12 (1982), 2132–2148 | MR | Zbl

[3] Burbaki N., Obschaya topologiya. Ispolzovanie veschestvennykh chisel v obschei topologii. Funktsionalnye prostranstva. Svodka rezultatov, Nauka, M., 1975

[4] Millionschikov V. M., “Ob indeksakh eksponentsialnoi razdelennosti”, Matem. sb., 124(166) (1984), 451–485 | MR | Zbl

[5] Baire R., Lecons sur les fonctions discontinues, Gauthier–Villars, Paris, 1905 | Zbl

[6] Khausdorf F., Teoriya mnozhestv, ONTI, M.-L., 1937

[7] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. I”, Differents. uravneniya, 16:8 (1980), 1408–1416 | MR | Zbl

[8] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. VI”, Differents. uravneniya, 18:5 (1982), 804–821 | MR

[9] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. VII”, Differents. uravneniya, 18:6 (1982), 957–978 | MR | Zbl

[10] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. VIII”, Differents. uravneniya, 18:8 (1982), 1330–1345 | MR

[11] Millionschikov V. M., “Berovskie klassy funktsii i pokazateli Lyapunova. III”, Differents. uravneniya, 16:10 (1980), 1766–1785 | MR