Geodesic
Densities of Lattices Corresponding to Spaces of Positive, Negative, and Variational Dimension,
Matematičeskie zametki, Tome 81 (2007) no. 2, pp. 251-264

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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, negative dimension, time series, Bose–Einstein distribution, Hölder exponent.
Mots-clés : positive dimension, variational dimension 
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     author = {V. P. Maslov},
     title = {Densities of {Lattices} {Corresponding} to {Spaces} of {Positive,} {Negative,} and {Variational} {Dimension,}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a8/}
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V. P. Maslov. Densities of Lattices Corresponding to Spaces of Positive, Negative, and Variational Dimension,. Matematičeskie zametki, Tome 81 (2007) no. 2, pp. 251-264. http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a8/