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In this chapter, we mostly recall some basic concepts of ergodic theory (cf., the book (Silva Invitation to Ergodic Theory, 2008) and Sect. 1.3 ) and restate them for p-adic 1-Lipschitz dynamics. We also examine image probabilities, which are associated with the p-adic 1-Lipschitz maps.

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Ergodic Theory: Preliminaries for the p-Adic Case

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  • 发表日期：

    2025年

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  • Vladimir Anashin

摘要

In this chapter, we mostly recall some basic concepts of ergodic theory (cf., the book (Silva Invitation to Ergodic Theory, 2008) and Sect. 1.3 ) and restate them for p-adic 1-Lipschitz dynamics. We also examine image probabilities, which are associated with the p-adic 1-Lipschitz maps.