By L. Arnold, V. Wihstutz (auth.), Ludwig Arnold, Volker Wihstutz (eds.)
Read Online or Download Lyapunov Exponents: Proceedings of a Workshop held in Bremen, November 12–15, 1984 PDF
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Extra info for Lyapunov Exponents: Proceedings of a Workshop held in Bremen, November 12–15, 1984
Example text
Fac. Sci. T o u l o u s e 9 (1907), 204-474. Reprint: Ann. of Math. Studies 17. Princeton: P r i n c e t o n U n i v e r s i t y Press 1949. • . V. [26] M l l l l o n ~ c l k o v , V. : On the spectral theory of n o n a u t o n o m o u s linear systems of d i f f e r e n t i a l equations. Trans. M o s c o w Math. Soc. 18 (1968), 161-206. V [27] Molcanov, S. : The structure of e i g e n f u n c t i o n s of o n e - d i m e n s i o n a l u n o r d e r e d structures. Math. USSR Izvestija 12 (1978), 69-Io1.
On a Xn+ I = Mn . . MoXo. Quel est le comportement asymptotique des t r a j e c t o i r e s processus ? Supposons que ~ s o i t i r r ~ d u c t i b l e , au sens de la d ~ f i n i t i o n de ce ci-dessous. Furstenberg a alors montr6 ( c f . s. vers l ' e x p o s a n t de Lyapounov maximal y d 6 f i n i par ~: l i m ~ 1 E(Log n-~oo I~tn Mn_1 ... rtoll). La s i t u a t i o n est donc c l a i r e l o r s q u e y n ' e s t pas nul. Pour x o # O, si y < O, ×n converge e×ponentiellement v i t e vers 0 et la s o l u t i o n n u l l e est stable.
1952) 116-136. A n a l y t i c i t y p r o p e r t i e s of the c h a r a c t e r i s t i c e x p o n e n t s of random m a t r i x products. Adv. in Math. 32 (1979) 68-80. A. S. [w] 140 (1969) P. Walters, Verlag, 1982. 2. Trans. 1-33. A n i n t r o d u c t i o n to ergodic theory, Springer- POSITIVITY OF THE EXPONENT FOR STATIONARY SEQUENCES OF M A T R I C E S . F. e. (theorem tive space which have to be "deterministic". a further criterion as theorem The proof which are extension in s e c t i o n Needles berg's each The than if e q u a l i t y proof of the I) and proved explained in (see also we d o n ' t which we g i v e and under theories.