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p-Adic mathematical physics: the first 30 years
University of Belgrade, Serbia ; Serbian Academy of Sciences and Arts, Serbia.
Linnaeus University, Faculty of Technology, Department of Mathematics. National Research University of Information Technologies, Russia.ORCID iD: 0000-0002-9857-0938
Steklov Mathematical Institute of the Russian Academy of Sciences, Russia.
Steklov Mathematical Institute of the Russian Academy of Sciences, Russia.
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2017 (English)In: P-Adic Numbers, Ultrametric Analysis, and Applications, ISSN 2070-0466, E-ISSN 2070-0474, Vol. 9, no 2, 87-121 p.Article in journal (Refereed) Published
Abstract [en]

p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the spacetime and string dynamics at the Planck scale, but then was extended to many other areas including biology. This paper contains a brief review of main achievements in some selected topics of p-adic mathematical physics and its applications, especially in the last decade. Attention is mainly paid to developments with promising future prospects.

Place, publisher, year, edition, pages
Pleiades Publishing , 2017. Vol. 9, no 2, 87-121 p.
Keyword [en]
adeles, biological systems, cognitive science, complex systems, cosmology, genetic code, gravity, hierarchy, p-adic mathematical physics, p-adic numbers, p-adic string theory, p-adic wavelets, proteins, quantum theory, stochastic processes, ultrametrics
National Category
Computational Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-64648DOI: 10.1134/S2070046617020017Scopus ID: 2-s2.0-85019362287OAI: oai:DiVA.org:lnu-64648DiVA: diva2:1104952
Available from: 2017-06-02 Created: 2017-06-02 Last updated: 2017-06-27Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • vancouver
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More styles
Language
  • de-DE
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  • nn-NB
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Output format
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