Geodesic
Nonstandard analysis, parastatistics, and fractals
Teoretičeskaâ i matematičeskaâ fizika, Tome 153 (2007) no. 2, pp. 262-270

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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
Mots-clés : space quantization. 
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     author = {V. P. Maslov},
     title = {Nonstandard analysis, parastatistics, and fractals},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {262--270},
     publisher = {mathdoc},
     volume = {153},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_153_2_a4/}
}
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V. P. Maslov. Nonstandard analysis, parastatistics, and fractals. Teoretičeskaâ i matematičeskaâ fizika, Tome 153 (2007) no. 2, pp. 262-270. http://geodesic.mathdoc.fr/item/TMF_2007_153_2_a4/