Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum

Bessa, Mário; Vilarinho, Helder

http://hdl.handle.net/10400.2/13842

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Authors

Bessa, Mário

Vilarinho, Helder

Abstract(s)

In this paper we prove that the class of accessible and saddle-conservative cocycles (a wide class which includes cocycles evolving in GL(d,R), SL(d,R) and Sp(d,R)) Lp-densely have a simple spectrum. We also prove that for an Lp-residual subset of accessible cocycles we have a one-point spectrum. Finally, we show that the linear differential system versions of previous results also hold and give some applications.