INVESTIGADORES
CABRELLI Carlos Alberto
artículos
Título:
Hausdorff Measure of p-Cantor Sets
Autor/es:
CABRELLI, CARLOS; MOLTER, URSULA; PAULAUSKAS, VYGANTAS; SHONKWILER, RON
Revista:
REAL ANALYSIS EXCHANGE
Editorial:
Michigan State University Press
Referencias:
Lugar: East Lansing; Año: 2005 vol. 30 p. 413 - 433
ISSN:
0147-1937
Resumen:
n this paper we analyze Cantor type sets constructed by the re- moval of open intervals whose lengths are the terms of the p-sequence, {k− p }∞k=1 . We prove that these Cantor sets are s-sets, by providing sharp estimates of their Hausdorff measure and dimension. Sets of similar structure arise when studying the set of extremal points of the boundaries of the so-called random stable zonotopes.
