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This chapter contains some general facts about the set of measures left invariant by a map T. We will work in the topological category, and while there is a theory for more general topological spaces, we will focus on the simple setting of compact metric spaces to illustrate the main ideas.

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Invariant Measures for Continuous Maps

  • 章节

  • 发表日期：

    2026年

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  • Alex Blumenthal,
  • Lai-Sang Young

摘要

This chapter contains some general facts about the set of measures left invariant by a map T. We will work in the topological category, and while there is a theory for more general topological spaces, we will focus on the simple setting of compact metric spaces to illustrate the main ideas.