6533b871fe1ef96bd12d1a5c

RESEARCH PRODUCT

Local dimensions in Moran constructions

Antti KäenmäkiVille SuomalaBing Li

subject

Physics::Physics and SocietyDiscrete mathematics28A12 28A80Applied Mathematics010102 general mathematicsGeneral Physics and AstronomyStatistical and Nonlinear Physics01 natural sciences010305 fluids & plasmasMetric spaceMathematics - Classical Analysis and ODEs0103 physical sciencesClassical Analysis and ODEs (math.CA)FOS: MathematicsQuantitative Biology::Populations and Evolution0101 mathematicsMathematical PhysicsMathematics

description

We study the dimensional properties of Moran sets and Moran measures in doubling metric spaces. In particular, we consider local dimensions and $L^q$-dimensions. We generalize and extend several existing results in this area.

https://doi.org/10.1088/0951-7715/29/3/807