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Matematicheskie Zametki, 2007, Volume 81, Issue 1, Pages 157–160
DOI: https://doi.org/10.4213/mzm3530 (Mi mzm3530) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Brief Communications

General Notion of a Topological Space of Negative Dimension and Quantization of Its Density

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (315 kB) Citations (8)
References:
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DOI: https://doi.org/10.4213/mzm3530
Keywords: negative dimension, scale of compact spaces, hole in equivalent scales, fractal, quantization of densities.
Received: 06.12.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 1, Pages 140–144
DOI: https://doi.org/10.1134/S0001434607010166
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Maslov, “General Notion of a Topological Space of Negative Dimension and Quantization of Its Density”, Mat. Zametki, 81:1 (2007), 157–160; Math. Notes, 81:1 (2007), 140–144
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm3530
  • https://doi.org/10.4213/mzm3530
  • https://www.mathnet.ru/eng/mzm/v81/i1/p157
    • This publication is cited in the following 8 articles:
    1. Szymon Łukaszyk, Andrzej Tomski, “Omnidimensional Convex Polytopes”, Symmetry, 15:3 (2023), 755  crossref
    2. Szymon Łukaszyk, “Novel Recurrence Relations for Volumes and Surfaces of n-Balls, Regular n-Simplices, and n-Orthoplices in Real Dimensions”, Mathematics, 10:13 (2022), 2212  crossref
    3. Foukzon J., Men'kova E.R., Potapov A.A., 8Th International Conference on Mathematical Modeling in Physical Science, Journal of Physics Conference Series, 1391, ed. Vlachos D., IOP Publishing Ltd, 2019  crossref  isi
    4. Litvinov G.L., “Tropical Mathematics, Idempotent Analysis, Classical Mechanics and Geometry”, Spectral Theory and Geometric Analysis, Contemporary Mathematics, 535, ed. Braverman M. Friedlander L. Kappeler T. Kuchment P. Topalov P. Weitsman J., Amer Mathematical Soc, 2011, 159–186  crossref  mathscinet  zmath  isi
    5. V. P. Maslov, “Densities of Lattices Corresponding to Spaces of Positive, Negative, and Variational Dimension, and Their Application to Time Series”, Math. Notes, 81:1 (2007), 222–233  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. V. P. Maslov, “Nonstandard analysis, parastatistics, and fractals”, Theoret. and Math. Phys., 153:2 (2007), 1575–1581  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. Maslov VP, “Revision of probability theory from the point of view of quantum statistics”, Russian Journal of Mathematical Physics, 14:1 (2007), 66–95  crossref  mathscinet  zmath  adsnasa  isi  scopus
    8. Maslov VP, “Quantization of topological spaces of negative dimension, parastatistics, and distribution of dependent random variables”, Doklady Mathematics, 75:3 (2007), 424–427  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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