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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2007 Volume 81, Issue 2, Pages 251–264 (Mi mzm3552)

This article is cited 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.

UDC: 519

Received: 07.01.2007

DOI: 10.4213/mzm3552


 English version:
Mathematical Notes, 2007, 81:1, 222–233

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© Steklov Math. Inst. of RAS, 2024