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
      FLUID MECHANICS


Distribution Statement : APPROVED FOR PUBLIC RELEASE