Bernoulli maps on Zp in the expansions of van der Put and Mahler

Jeong, Sangtae

doi:10.1016/j.jnt.2018.05.009

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Bernoulli maps on Zp in the expansions of van der Put and Mahler

Jeong, Sangtae

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7

초록

We provide a Bernoullicity criterion for p(k)-Lipschitz functions on Z(p) in van der Put's expansion, and employ it to present a Bernoullicity for a certain class of p(k)-Lipschitz functions on Z(p) in Mahler's expansion. (C) 2018 Elsevier Inc. All rights reserved.

키워드

p(k)-Lipschitz; Uniformly differentiable modulo p(k); Bernoulli; Van der Put basis; Mahler basis; 1-LIPSCHITZ FUNCTIONS; MEASURE-PRESERVATION; CRITERIA; DYNAMICS; TERMS

제목: Bernoulli maps on Zp in the expansions of van der Put and Mahler

저자: Jeong, Sangtae

DOI: 10.1016/j.jnt.2018.05.009

발행일: 2018-12

유형: Article

저널명: Journal of Number Theory

권: 193

페이지: 235 ~ 265