A multiplicative ergodic theorem for mapping class groups
Geometry of mapping class groups and Out(Fn) October 25, 2016 - October 28, 2016
Location: SLMath: Eisenbud Auditorium
Mapping Class Group
ergodic
ergodic theorem
35Q92 - PDEs in connection with biology, chemistry and other natural sciences
00A35 - Methodology of mathematics {For mathematics education, see 97-XX}
01-11 - Research data for problems pertaining to history and biography
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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
Horbez.Notes
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