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Applications of p-adic numbers: from physics to geology
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modeling Phys & Cognit Sci)
UNAM, Mexico.
Coordinac Diseno Proyectos, Mexico.
2016 (English)In: ADVANCES IN NON-ARCHIMEDEAN ANALYSIS, American Mathematical Society (AMS), 2016, 121-131 p.Conference paper, Published paper (Refereed)
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Text
Abstract [en]

In this short review we present the basic applications of p-adic numbers: from physics, string theory and quantum mechanics, to geology, transport in porous disordered media. Opposite to applications to physics (they were started long ago and this is the well established field of research), applications to geology are recent and we discuss motivations and one concrete mathematical model in more detail. Porous disordered media is a complex geological structure which plays an important role, e.g., in geological studies of oil resources. Such a media has a tree-like structure and it can be modeled with the aid of fractal geometry. P-adic fields can be used as mathematical models of special fractal structures and hence they can be applied to model transport in disordered porous media.

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2016. 121-131 p.
Series
Contemporary Mathematics, ISSN 0271-4132 ; 665
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-54697DOI: 10.1090/conm/665/13363ISI: 000377639700010ISBN: 978-1-4704-1988-2 (print)OAI: oai:DiVA.org:lnu-54697DiVA: diva2:949617
Conference
13th International Conference on p-adic Functional Analysis, AUG 12-16, 2014, Univ Paderborn, Paderborn, GERMANY
Available from: 2016-07-21 Created: 2016-07-21 Last updated: 2016-07-28Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf