300 citations · 888 across the 48 of their papers we have counts for
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Asymptotical behavior of one class of -adic singular Fourier integrals
A. Yu. Khrennikov, V. M. Shelkovich
We study the asymptotical behavior of the -adic singular Fourier integrals $$ J_{π_α,m;ϕ}(t) =\bigl< f_{π_α;m}(x)χ_p(xt), ϕ(x)\bigr> =F\big[f_{π_α;m}ϕ\big](t), \quad |t|_p \to \…
Complete account of randomness in the EPR-Bohm-Bell experiment
David Avis, Paul Fischer, Astrid Hilbert +1
We show that paradoxical consequences of violations of Bell's inequality are induced by the use of an unsuitable probabilistic description for the EPR-Bohm-Bell experiment. The con…
On ergodic behavior of -adic dynamical systems
Matthias Gundlach, Andrei Khrennikov, Karl-Olof Lindahl
Monomial mappings, , are topologically transitive and ergodic with respect to Haar measure on the unit circle in the complex plane. In this paper we obtain an anologo…
On the problem of completeness of QM: von Neumann against Einstein, Podolsky, and Rosen
Andrei Khrennikov
We performed a comparative analysis of the arguments of Einstein, Podolsky and Rosen -- EPR, 1935 (against the completeness of QM) and the theoretical formalism of QM (due to von N…
Quantum-like Representation Algorithm: Transformation of Probabilistic Data into vectors on Bloch's Sphere
Andrei Khrennikov
In this paper we present a simple algorithm for representation of statistical data of any origin by complex probability amplitudes. Numerical simulation with Mathematica-6 is perfo…
Parallelism of quantum computations from prequantum classical statistical field theory (PCSFT)
Andrei Khrennikov
This paper is devoted to such a fundamental problem of quantum computing as quantum parallelism. It is well known that quantum parallelism is the basis of the ability of quantum co…