arxiv: 1302.6465 · v1 · pith:NRX4P27Wnew · submitted 2013-02-26 · 🧮 math.DS

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

Mario Bessa , Helder Vilarinho This is my paper

classification 🧮 math.DS

keywords cocyclesspectrumaccessibleclassgeneralizeprovesimpleabundance

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

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