Logic, Category Theory, and Computation -- The simplex of invariant measures of a minimal homeomorphism

11/17/2015 - 14:30
11/17/2015 - 16:00
Julien Melleray (Lyon)
Burnside Hall, Rm. 920 (McGill University)

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for some minimal homeomorphism g of X. This extends a result of Akin for the case when K is a singleton, and an unpublished result of Dahl when K is finite-dimensional.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. (Joint work with Tomás Ibarlucia).

Last edited by on Thu, 11/12/2015 - 16:54