Naslov
Spectral theory under nonuniform hyperbolicity

Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
59th Annual Meeting of the Australian Mathematical Society

Mjesto i datum
Adelaide, Australija, 28.09.2015. - 01.10.2015

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Sacker-Sell spectrum ; nonuniform hyperbolicity

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA