We assume throughout that X is a compact metric space, and \(T:X \circlearrowleft \) is a continuous map. In this chapter we discuss a few topological dynamical properties of T that are analogous to the ergodic properties for mpts discussed earlier.

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Topological Dynamics

  • Alex Blumenthal,
  • Lai-Sang Young

摘要

We assume throughout that X is a compact metric space, and \(T:X \circlearrowleft \) is a continuous map. In this chapter we discuss a few topological dynamical properties of T that are analogous to the ergodic properties for mpts discussed earlier.