2 papers
math.DS2016
Local dimensions of measures of finite type on the torus
Kathryn E. Hare, Kevin G. Hare, Kevin R. Matthews
The structure of the set of local dimensions of a self-similar measure has been studied by numerous mathematicians, initially for measures that satisfy the open set condition and,…
math.DS2015
Local dimensions of measures of finite type
Kathryn E. Hare, Kevin G. Hare, Kevin R. Matthews
We study the multifractal analysis of a class of equicontractive, self-similar measures of finite type, whose support is an interval. Finite type is a property weaker than the open…