Abstract:
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when K is a singleton, and an unpublished result of Dahl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)