Upper semi-continuity of the entropy map for Markov shifts **
Godofredo Iommi (PUC-Santiago)
**In this talk I will show that for ﬁnite entropy countable Markov shifts the entropy map is upper semi-continuous when restricted to the set of ergodic measures. I will also discuss the structure of the space of invariant probability measures for ﬁnite entropy countable Markov shifts. These results include joint work with Mike Todd and Anibal Velozo.