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On \(p\)-adic functions preserving Haar measure

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Publication:1280619
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DOI10.1007/BF02312777zbMath0920.11051MaRDI QIDQ1280619

I. A. Yurov

Publication date: 11 April 1999

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

polynomial\(p\)-adic metricHaar measuregenerators of pseudorandom numbersuniformly differentiable functionuniformly distributed sequence of \(p\)-adic integers


Mathematics Subject Classification ID

Non-Archimedean function theory (30G06) Continuous, (p)-adic and abstract analogues (11K41) Pseudo-random numbers; Monte Carlo methods (11K45) Non-Archimedean analysis (26E30)


Related Items (4)

The p-adic Theory of Automata Functions ⋮ Higher Order Degenerate Hermite-Bernoulli Polynomials Arising from $p$-Adic Integrals on $mathbb{Z}_p$ ⋮ Shadowing and stability in \(p\)-adic dynamics ⋮ Measure-preservation and the existence of a root of \(p\)-adic 1-Lipschitz functions in Mahler's expansion



Cites Work

  • Uniformly distributed sequences of \(p\)-adic integers
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