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Matematicheskie Zametki, 2007, Volume 81, Issue 2, Pages 251–264
DOI: https://doi.org/10.4213/mzm3552 (Mi mzm3552) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Densities of Lattices Corresponding to Spaces of Positive, Negative, and Variational Dimension, and Their Application to Time Series

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (505 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm3552
Abstract: We prove a general theorem concerning a distribution of Bose–Einstein type. Using this theorem, we apply the notions of lattice dimension and lattice density to oscillatory time series.
Keywords: lattice density, positive dimension, negative dimension, variational dimension, time series, Bose–Einstein distribution, Hölder exponent.
Received: 07.01.2007
English version:
Mathematical Notes, 2007, Volume 81, Issue 1, Pages 222–233
DOI: https://doi.org/10.1134/S0001434607010257
Bibliographic databases:
UDC: 519
Language: Russian
Citation: V. P. Maslov, “Densities of Lattices Corresponding to Spaces of Positive, Negative, and Variational Dimension, and Their Application to Time Series”, Mat. Zametki, 81:2 (2007), 251–264; Math. Notes, 81:1 (2007), 222–233
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm3552
  • https://doi.org/10.4213/mzm3552
  • https://www.mathnet.ru/eng/mzm/v81/i2/p251
    • This publication is cited in the following 3 articles:
    1. V. P. Maslov, “Parastatistics and the General Theorem of Probability Theory as Applied to Risk-Free Investments”, Math. Notes, 81:3 (2007), 422–425  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. V. P. Maslov, “A Theorem on Parastatistics and Its Application”, Theoret. and Math. Phys., 150:3 (2007), 436–437  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    3. 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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