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Non-Kolmogorov Probabilistic Models with p-adic Probabilities and Foundations of Quantum Mechanics

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Stochastic Analysis and Related Topics VI

Part of the book series: Progress in Probability ((PRPR,volume 42))

Abstract

The situation in probability theory is more or less analogous to the situation in geometry in the 19th century. Many scientists begin to understand that the Kol-mogorov axiomatic approach [1], 1933, to the modern theory of probability cannot describe all probabilistic phenomena observed in nature. Hence, the theory of probability based on this axiomatic approach is not a unique and universal probabilistic formalism. It is only one model, namely, the Kolmogorov probabilistic model.

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Khrennikov, A. (1998). Non-Kolmogorov Probabilistic Models with p-adic Probabilities and Foundations of Quantum Mechanics. In: Decreusefond, L., Øksendal, B., Gjerde, J., Üstünel, A.S. (eds) Stochastic Analysis and Related Topics VI. Progress in Probability, vol 42. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-2022-0_12

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  • DOI: https://doi.org/10.1007/978-1-4612-2022-0_12

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7385-1

  • Online ISBN: 978-1-4612-2022-0

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