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math.DS2020
Maximal equivariant compactification of the Urysohn spaces and other metric structures
Tomás Ibarlucía, Michael Megrelishvili
We study isometric -spaces and the question of when their maximal equivariant compactification is the Gromov compactification (meaning that it coincides with the compactificatio…
math.DS2018
A model-theoretic approach to rigidity of strongly ergodic, distal actions
Tomás Ibarlucía, Todor Tsankov
We develop a model-theoretic framework for the study of distal factors of strongly ergodic, measure-preserving dynamical systems of countable groups. Our main result is that all su…
math.DS2015
Dynamical simplices and minimal homeomorphisms
Tomás Ibarlucía, Julien Melleray
We give a characterization of sets K of probability measures on a Cantor space X with the property that there exists a minimal homeomorphism g of X such that the set of g-invariant…