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Scuola Normale Superiore

Periodic points for expanding maps and their extensions

Periodic points for expanding maps and their extensions

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The aim of this thesis is to give a complete exposition of the main topological and ergodic properties of the expanding maps and provide some new results about their periodic points sets. It is common practice in topological dynamics to examine the results of differentiable dynamics and try to establish them in a not necessarily differentiable hyperbolic map.
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