300 citations · 3.1k across the 190 of their papers we have counts for
10 papers · 1 filter
p-Adic and Adelic Superanalysis
Branko Dragovich, Andrei Khrennikov
After a brief review of p-adic numbers, adeles and their functions, we consider real, p-adic and adelic superalgebras, superspaces and superanalyses. A concrete illustration is giv…
Asymptotic expansion of Gaussian integrals of analytic functionals on infinite-dimensional spaces and quantum averages
Andrei Khrennikov
We study asymptotic expansions of Gaussian integrals of analytic functionals on infinite-dimensional spaces (Hilbert and nuclear Frechet). We obtain an asymptotic equality coupling…
Generalized probabilities taking values in non-Archimedean fields and topological groups
Andrei Khrennikov
We develop an analogue of probability theory for probabilities taking values in topological groups. We generalize Kolmogorov's method of axiomatization of probability theory: main…
Buonomano against Bell: Nonergodicity or nonlocality?
Andrei Khrennikov
The aim of this note is to attract attention of the quantum foundational community to the fact that in Bell's arguments one can not distinguish two hypotheses: a) quantum mechanics…
An Introduction to Hyperbolic Analysis
Andrei Khrennikov, Gavriel Segre
An introduction to Hyperbolic Analysis is presented.
Quantum mechanics as an approximation of statistical mechanics for classical fields
Andrei Khrennikov
We show that, in spite of a rather common opinion, quantum mechanics can be represented as an approximation of classical statistical mechanics. The approximation under consideratio…