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Normal forms for contracting measurable cocycles

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Karin Melnick
Thu, 2016-01-21 16:30 - 17:30
MPIM Seminar Room

The history of normal forms theorems for contracting diffeomorphisms of R^n (fixing the origin) includes work of Poincaré, Hartman + Grobman, and Sternberg.  More recently, Guysinsky and Katok proved existence of nonstationary polynomial normal forms, for families of such diffeomorphisms arising from an action on an R^n-bundle.  I will discuss these normal forms results and present work in progress on such a result for contracting measurable cocycles, as well as an interpretation in terms of differential-geometric structures.

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