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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 153, Number 2, Pages 262–270
DOI: https://doi.org/10.4213/tmf6137 (Mi tmf6137) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Nonstandard analysis, parastatistics, and fractals

V. P. Maslov

M. V. Lomonosov Moscow State University
Full-text PDF (418 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6137
Abstract: To estimate divergent integrals, it is convenient, on one hand, to use ideas of nonstandard analysis and, on the other hand, to approximate the integral with a special lattice model that can be interpreted as space quantization. We apply these methods in the case of noninteger (fractal) and negative (hole) dimensions and present some refined formulas, in particular, for the spectrum of flicker noise.
Keywords: nonstandard analysis, parastatistics, flicker noise, space quantization.
Received: 02.07.2007
English version:
Theoretical and Mathematical Physics, 2007, Volume 153, Issue 2, Pages 1575–1581
DOI: https://doi.org/10.1007/s11232-007-0133-x
Bibliographic databases:
Language: Russian
Citation: V. P. Maslov, “Nonstandard analysis, parastatistics, and fractals”, TMF, 153:2 (2007), 262–270; Theoret. and Math. Phys., 153:2 (2007), 1575–1581
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v153/i2/p262
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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