Scale-dependent functions in statistical hydrodynamics: a functional analysis point of view
chao-dyn
2016-08-31 v2 Chaotic Dynamics
Abstract
Most of dynamic systems which exhibit chaotic behavior are also known to posses self-similarity and manifest strong fluctuations of all possible scales.The meaning of this terms is not always same. In present note we make an attempt to formulate the problem in the framework of functional analysis. The statistical hydrodynamics is taken as a vivid physical example. The links to wavelet analysis, multi-fractal formalism and Nottale's scale relativity are presented.
Cite
@article{arxiv.chao-dyn/9707011,
title = {Scale-dependent functions in statistical hydrodynamics: a functional analysis point of view},
author = {Mikhail V. Altaisky},
journal= {arXiv preprint arXiv:chao-dyn/9707011},
year = {2016}
}
Comments
17 pages, LaTeX, no figures, Revised: Aug 3, small changes in bibliography