Julien Melleray: The simplex of invariant measures of a minimal homeomorphism

Place: Fields Institute (Room 210)

Date: November 20th, 2015 (14:00-15:00)

Speaker: Julien Melleray

Title: The simplex of invariant measures of a minimal homeomorphism

Abstract:  (joint work with Tomás Ibarlucia) We give a characterization
of all simplices of probability measures on a Cantor space X which may
be realized as the simplex of all invariant probability measures for
some minimal homeomorphism g of X. This extends a result of Akin for the
case when K is a singleton, and an unpublished result of Dahl when K is
finite-dimensional. All relevant notions of topological dynamics will be
recalled.

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