topological entropy

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Topological entropy measures the exponential growth of orbit segments distinguishable at a fixed resolution. Compare spanning and separated sets before using the variational principle to relate this growth to invariant measures.

Before opening the references

topological dynamical system · Topological Compactness · Invariant Measure

Where to read

  1. Start here: MAGIC010 Ergodic Theory, Lecture 8: Topological entropy

    Charles Walkden · Lecture notes · English · Free full text

    §8.4.2 Bowen's definition, spanning/separated-set definitions and Lemma 8.10; §8.5.1 The variational principle, Theorem 8.18

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