Densities of lattices corresponding to spaces of positive, negative, and variational dimension, and their application to time series

DOI10.1134/S0001434607010257zbMath1132.62347MaRDI QIDQ2460534

V. P. Maslov

Publication date: 12 November 2007

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

time seriesHölder exponentBose-Einstein distributionnegative dimensionlattice densitypositive dimensionvariational dimension

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Time series analysis of dynamical systems (37M10)

Related Items (1)

Quantization of topological spaces of negative dimension, parastatistics, and distribution of dependent random variables

Cites Work

• Quantum linguistic statistics
• The lack-of-preference law and the corresponding distributions in frequency probability theory
• On Zipf's law and rank distributions in linguistics and semiotics
• On a general theorem of set theory leading to the Gibbs, Bose-Einstein, and Pareto distributions as well as to the Zipf-Mandelbrot law for the stock market
• Probability and Finance

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