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A uniformly distributed sequence on the ring of p-adic integers
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Published/Copyright:
November 28, 2008
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.
Received: 2008-05-24
Revised: 2008-10-06
Published Online: 2008-11-28
Published in Print: 2008-November
© de Gruyter 2008
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Articles in the same Issue
- Quasi-Monte Carlo methods for the Kou model
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- Realizability of dynamic subgrid-scale stress models via stochastic analysis
- Real-time scheme for the volatility estimation in the presence of microstructure noise
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