On the uniqueness of the branching parameter for a random cascade measure
Probability
2016-09-07 v1 Mathematical Physics
math.MP
Abstract
An independent random cascade measure is specified by a random generator, a vector of dimension c with non-negative components. The dimension c is called the branching cascade parameter. It is shown under certain restrictions that, if this measure has two generators with a.s. positive components, and the ratio ln c_1/ln c_2 for their branching parameters is an irrational number, then this measure is a Lebesgue measure. In other words, when c is a power of an integer number p and the p is minimal for c, then a cascade measure that has the property of intermittency specifies p uniquely.
Keywords
Cite
@article{arxiv.math/0305200,
title = {On the uniqueness of the branching parameter for a random cascade measure},
author = {G. Molchan},
journal= {arXiv preprint arXiv:math/0305200},
year = {2016}
}
Comments
18 pages, no figures