A note on correlation and local dimensions
Jiaojiao Yang, Antti K\"aenm\"aki, Min Wu
TL;DR
This paper provides formulas for calculating the correlation and local dimensions of measures on Moran set limit sets using the construction data, under mild assumptions.
Contribution
It introduces explicit formulas for correlation and local dimensions based on the data used in Moran constructions, under mild assumptions.
Findings
Formulas for correlation dimensions derived from construction data.
Formulas for local dimensions derived from construction data.
Applicable under mild assumptions.
Abstract
Under very mild assumptions, we give formulas for the correlation and local dimensions of measures on the limit set of a Moran construction by means of the data used to construct the set.
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