6533b7d8fe1ef96bd126ae56

RESEARCH PRODUCT

A note on correlation and local dimensions

Min WuAntti KäenmäkiJiaojiao Yang

subject

Correlation dimensionPure mathematicslocal dimensionfinite clustering propertyGeneral MathematicsApplied Mathematics010102 general mathematicsta111General Physics and AstronomyStatistical and Nonlinear Physics01 natural sciencescorrelation dimension010305 fluids & plasmasSet (abstract data type)CombinatoricsCorrelationmoran constructionMathematics - Classical Analysis and ODEs0103 physical sciencesClassical Analysis and ODEs (math.CA)FOS: Mathematics0101 mathematicsLimit setConstruct (philosophy)Mathematics

description

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.

yearjournalcountryeditionlanguage
2015-11-25
10.1016/j.chaos.2017.02.004http://arxiv.org/abs/1511.08191