A multiplicative ergodic theorem for mapping class groups
Location: MSRI: Simons Auditorium
Mapping Class Group
Oseledets's multiplicative ergodic theorem describes the growth of vectors in R^N under linear ergodic cocycles. I will report on joint work with Anders Karlsson in which we establish an analogous result for mapping class groups of surfaces, describing the various growth rates for the lengths of curves on a hyperbolic surface S under ergodic cocycles of mapping classes of S
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