Topological methods in ergodic theory: old and new
Paulo Varandas (UFBA)

The use of topological methods (as shadowing or specication) in dynamics has been much successful either in the characterization of uniformly hyperbolicity or as important tools to describe the thermodynamic formalism, the multifractal analysis, or large deviations for uniformly hyperbolic dynamical systems. In the present talk I will report on (weaker) gluing orbit properties, a comparison between these with the original notions of specication and how these can be used to prove strong recurrence and describe the space of invariant measures. If time permits we will point out the key dierences between discrete and continuous time dynamics and some consequences for other semigroup actions.

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