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arXiv · 1302.6465

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

Mario Bessa·Helder Vilarinho
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Abstract

In this paper we generalize [3] and 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 generalize [3, 1] and prove that for an Lp-residual subset of accessible cocycles we have a one-point spectrum, by using a different approach of the one given in [3]. Finally, we show that the linear differential system versions of previous results also hold and give some applications.

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Mario Bessa, Helder Vilarinho. 2013-02-26. Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum. https://arxiv.org/abs/1302.6465

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