INVESTIGADORES
MOLTER ursula Maria
artículos
Título:
Classifying Cantor Sets by their Fractal Dimensions
Autor/es:
CABRELLI, CARLOS A.; HARE, KATHRYN; MOLTER, URSULA M.
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 the sense of Besicovich and Taylor. We classify these Cantor sets in terms of their $h$-Hausdorff and $h$-Packing measures, for the family of dimension functions $h$, and characterize this classification in terms of the underlying sequences.
