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The Measure-Theoretical Approach to P-Adic Probability Theory (1998)  (Make Corrections)  
Andrei Khrennikov, Shinichi Yamada, Arnoud van Rooij



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Abstract: this paper we develop a p-adic probability formalism based on measure theory of [19]. By probabilistic reasons we use the special case of this measure theory: measures defined on algebras (such measures have some special properties). However, probabilistic applications stimulate also the development of the general theory of non-Archimedean measures defined on rings. We prove the formula of the change of variables for these measures and use this formula for developing the formalism of... (Update)

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BibTeX entry:   (Update)

@misc{ khrennikov-measuretheoretical,
  author = "Andrei Khrennikov and Shinichi Yamada and Arnoud van Rooij",
  title = "The Measure-Theoretical Approach to P-Adic Probability Theory",
  url = "citeseer.ist.psu.edu/khrennikov98measuretheoretical.html" }
Citations (may not include all citations):
17   The mathematical theory of probability and statistics (context) - Mises, von - 1964
4   adic valued distributions in mathematical physics (context) - Khrennikov, Yu - 1994
3   Non-archimedean functional analysis (context) - Van Rooij - 1978
3   Statistics and Truth (context) - Mises, von - 1957
3   adic quantum mechanics (context) - Vladimirov, Volovich - 1989
2   Non-Archimedean analysis: quantum paradoxes (context) - Khrennikov, Yu - 1997
2   Foundations of the Probability Theory (context) - Kolmogorov - 1956
2   Ultrametric calculus (context) - Schikhov - 1984
2   adic string (context) - Volovich - 1987
1   Representation of the Weyl group in spaces of square integra.. (context) - Albeverio, Khrennikov et al. - 1996
1   adic Hilbert space representation of quantum systems with an.. (context) - Albeverio, Khrennikov et al. - 1996
1   Stochastic Process Appl (context) - Albeverio, Karwowski et al. - 1994
1   adic theory of probability and foundations of quantum mechan.. (context) - Albeverio, Cianci et al.
1   adic probability distribution of hidden variables (context) - Khrennikov, Yu - 1995
1   adic string N-point function (context) - Frampton, Okada - 1988
1   adic theory of probability and its applications (context) - Khrennikov, Yu - 1993
1   Integration non-Archimedienne (context) - Monna, Springer - 1963
1   adic probability interpretation of Bell's inequality paradox.. (context) - Khrennikov, Yu - 1995
1   Mathematical methods of the non-Archimedean physics (context) - Khrennikov, Yu - 1990
1   World Scientific Publ (context) - Vladimirov, Volovich et al. - 1994
1   Mathematical theory of statistics (context) - Cramer - 1949

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