Accession Number : ADA256647
Title : On a Symmetry of Turbulence,
Corporate Author : COLORADO UNIV AT BOULDER
Personal Author(s) : Peckham, Scott ; Waymire, Ed
Report Date : 1992
Pagination or Media Count : 7
Abstract : This paper presents results on symmetries of the spectrum of singularities for random cascades found in the statistical theory of turbulence. It is shown that empirical dimension curves possess a natural symmetry whose presence restricts the class of allowable probability distributions of the cascade generator in a simple manner. In particular, necessary and sufficient conditions on the probability distribution of the generator are obtained for symmetry of the singularity spectrum within a large class of cascade models.
Descriptors : *STATISTICAL ANALYSIS, *SYMMETRY, *TURBULENCE, DISTRIBUTION, GENERATORS, MODELS, PROBABILITY, THEORY, REPRINTS.
Subject Categories : STATISTICS AND PROBABILITY
Distribution Statement : APPROVED FOR PUBLIC RELEASE