INVESTIGADORES
GARCIA Ignacio Andres
artículos
Título:
A family of smooth Cantor sets
Autor/es:
GARCIA, IGNACIO
Revista:
ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA
Editorial:
SUOMALAINEN TIEDEAKATEMIA
Referencias:
Año: 2011 p. 21 - 45
ISSN:
1239-629X
Resumen:
We show that the Cantor set C_p associated to the sequence (1/n^p), p>1, is a smooth attractor. Moreover, it is smoothly conjugate to 2^-p-middle Cantor set. We also study the convolution of Hausdorff measures supported on these sets and struture and size of the sumset C_p+C_q.
