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Livsic's Theorem for Semisimple Lie Groups

By Matthew Nicol and Mark Pollicott


<p>In this paper we show that strong generalizations of the measurable Livsic theorem for cocycles taking values in connected non-compact linear semisimple Lie groups, a canonical example being <i>SL</i>(2,<b>R</b>) can be deduced from an elegant approach of Brin and Pesin to the dynamics of partially hyperbolic systems.</p

Year: 2001
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