Abstract
In this paper, we provide necessary and sufficient conditions for 1-Lipschitz functions that are uniformly differentiable mod p on ℤp to be measure-preserving, in Mahler’s expansion, and show that these conditions can be modified to guarantee the existence of a root of p-adic Lipschitz functions.
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Jeong, S. Measure-Preservation and the Existence of a Root of p-Adic 1-Lipschitz Functions in Mahler’s Expansion. P-Adic Num Ultrametr Anal Appl 10, 192–208 (2018). https://doi.org/10.1134/S2070046618030044
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DOI: https://doi.org/10.1134/S2070046618030044