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\(p\)-adic analogues of the law of large numbers and the central limit theorem

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Publication:1359385
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DOI10.1016/S0019-3577(97)83351-4zbMath1002.60501MaRDI QIDQ1359385

Andrei Yu. Khrennikov

Publication date: 9 January 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)



Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Foundations of probability theory (60A99) Non-Archimedean valued fields (12J25) Continuous, (p)-adic and abstract analogues (11K41)


Related Items

Large deviations for scaled sums of \(p\)-adic-valued rotation-symmetric independent and identically distributed random variables ⋮ Probabilistic trace and Poisson summation formulae on locally compact abelian groups



Cites Work

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  • p-adic quantum mechanics with p-adic valued functions
  • Convolutions on the Ring of p -Adic Integers
  • UNBOUNDEDNESS OF Ap-ADIC GAUSSIAN DISTRIBUTION
  • Fourier Analysis for P -Adic Lipschitz Functions
  • \(p\)-adic probability interpretation of Bell's inequality
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