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Ergodic Uniformly Differentiable Functions Modulo p on ℤp

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We establish necessary and sufficient conditions for ergodicity of uniformly differentiable functions modulo p on ℤp. This result is applied to study ergodic rational functions on ℤ3. Click to show full abstract

We establish necessary and sufficient conditions for ergodicity of uniformly differentiable functions modulo p on ℤp. This result is applied to study ergodic rational functions on ℤ3.

Keywords: uniformly differentiable; ergodic uniformly; differentiable functions; functions modulo

Journal Title: P-adic Numbers, Ultrametric Analysis, and Applications
Year Published: 2020

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