Diffeomorphism cocycles over expanding map,without domination

来源 :2016数学青年学者论坛(2016 Young Mathematician Forum) | 被引量 : 0次 | 上传用户:ganlu0416
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  This is a joint work with Marcelo Viana.We formulate a version of the Avila-Viana Invariance Principle for diffeomorphism cocycles that are not necessary dominated(fiber bunched).As an application,we prove that cocycles having some non-zero Lyapunov exponent are generic in a number of situations,including GL(d)-cocycles over expanding maps and Di (M)cocycles over expanding maps.
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