A uniformly distributed sequence on the ring of p-adic integers

Fujita Takahiko, Kaneko Hiroshi and Matsumoto Shin
Additional contact information
Fujita Takahiko: Graduate School of Commerce and Management, Hitotsubashi University, Kunitachi, Tokyo, 186-8601, Japan. Email: fujita@math.hit-u.ac.jp
Kaneko Hiroshi: Department of Mathematics, Tokyo University of Science, 26 Wakamiya, Shinjuku, Tokyo, 162-0827, Japan. Email: stochos@rs.kagu.tus.ac.jp
Matsumoto Shin: Department of Mathematics, Tokyo University of Science, 26 Wakamiya, Shinjuku, Tokyo, 162-0827, Japan.

Monte Carlo Methods and Applications, 2008, vol. 14, issue 4, 303-310

Abstract: This article will be started with a fundamental observation on consecutive non-negative integers. Based on the observation, we will demonstrate that the sequence of non-negative integers is regarded as a uniformly distributed sequence in the ring of the p-adic integers. As a result, the sequence provides us with a faster rate of convergence than the one obtained by simply applying law of the iterated logarithm.

Keywords: Uniformly distributed; law of the iterated logarithm sequence (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1515/MCMA.2008.013

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