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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm3552https://doi.org/10.4213/mzm3552 https://www.mathnet.ru/eng/mzm/v81/i2/p251
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