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In this chapter, we prove a number of results on ergodicity (and measure-preservation) of 1-Lipschitz transformations on \(\mathbb {Z}_p\) for various important classes of these transformations.

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1-Lipschitz Ergodicity on \(\mathbb {Z}_p\)

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  • 发表日期：

    2025年

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  • Vladimir Anashin

摘要

In this chapter, we prove a number of results on ergodicity (and measure-preservation) of 1-Lipschitz transformations on \(\mathbb {Z}_p\) for various important classes of these transformations.