INVESTIGADORES
CABRELLI Carlos Alberto
artículos
Título:
Classifying Cantor Sets by their Fractal Dimensions
Autor/es:
CARLOS CABRELLI; KATHRYN HARE; URSULA MOLTER
Revista:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Lugar: Providence; Año: 2010 vol. 138 p. 3965 - 3974
ISSN:
0002-9939
Resumen:
In this article we study Cantor sets defined by monotone sequences, in thesense of Besicovich and Taylor. We classify these Cantor sets in terms oftheir h-Hausdorff and h-Packing measures, for the family of dimensionfunctions h, and characterize this classification in terms of theunderlying sequences.