300 citations · 3.1k across the 190 of their papers we have counts for
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Hyperbolic quantum mechanics
Andrei Khrennikov
We start to develop the quantization formalism in a hyperbolic Hilbert space. Generalizing Born's probability interpretation, we found that unitary transformations in such a Hilber…
On the mystery of quantum probabilistic rule: trigonometric and hyperbolic probabilistic behaviours
Andrei Khrennikov
We demonstrate the quantum probabilistic rule (which differ from classical Bayes' formula by the cosinus factor) can be obtained on purely classical basis as a consequence of the p…
Some p-adic differential equations
M. de Gosson, B. Dragovich, A. Khrennikov
We investigate various properties of p-adic differential equations which have as a solution an analytic function of the form , where $P_k (…
Kolmogorov and von Mises viewpoints to the Greenburger-Horne-Zeilinger paradox
Andrei Khrennikov
We present comparative probabilistic analysis of the Greenburger-Horne-Zeilinger paradox in the frameworks of Kolmogorov's (measure-theoretical) and von Mises' (frequency) models o…
Einstein and Bell, von Mises and Kolmogorov: reality and locality, frequency and probability
Andrei Khrennikov
We perform frequency analysis of the EPR-Bell argumentation. One of the main consequences of our investigation is that the existence of probability distributions of the Kolmogorov-…
Non-Kolmogorov probability models and modified Bell's inequality
Andrei Khrennikov
We analyse the proof of Bell's inequality and demonstrate that this inequality is related to one particular model of probability theory, namely Kolmogorov measure-theoretical axiom…