A multiplicative ergodic theorem for mapping class groups
Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016
Location: MSRI: Simons Auditorium
Mapping Class Group
ergodic
ergodic theorem
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
20F65 - Geometric group theory [See also 05C25, 20E08, 57Mxx]
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
14633
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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14633
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