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Spectral theory under nonuniform hyperbolicity (CROSBI ID 631345)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Barreira, Luis ; Dragičević, Davor ; Valls, Claudia Spectral theory under nonuniform hyperbolicity. 2015

Podaci o odgovornosti

Barreira, Luis ; Dragičević, Davor ; Valls, Claudia

engleski

Spectral theory under nonuniform hyperbolicity

For a linear nonautonomous dynamics, we consider the notion of \emph{; ; ; ; nonuniform spectrum}; ; ; ; . This is defined in terms of the existence of nonuniform exponential dichotomies with an arbitrarily small nonuniform part and can be seen as a nonuniform version of the spectrum introduced by Sacker and Sell in the case of a single trajectory. We will describe the structure of the nonuniform spectrum and discuss its connection with the theory of Lyapunov exponents. Furthermore, we will consider both the discrete and continuous as well as finite and infinite-dimensional dynamics. This is a joint work with Luis Barreira and Claudia Valls.

Sacker-Sell spectrum ; nonuniform hyperbolicity

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Podaci o prilogu

1

2015.

objavljeno

Podaci o matičnoj publikaciji

Podaci o skupu

59th Annual Meeting of the Australian Mathematical Society

pozvano predavanje

28.09.2015-01.10.2015

Adelaide, Australija

Povezanost rada

Matematika