Artículo

Cabrelli, C.A.; Hare, K.E.; Molter, U.M. "Sums of Cantor sets" (1997) Ergodic Theory and Dynamical Systems. 17(6):1299-1313
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Abstract:

We find conditions on the ratios of dissection of a Cantor set so that the group it generates under addition has positive Lebesgue measure. In particular, we answer affirmatively a special case of a conjecture posed by J. Palis.

Registro:

Documento: Artículo
Título:Sums of Cantor sets
Autor:Cabrelli, C.A.; Hare, K.E.; Molter, U.M.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pab. I, (1428) Bs.As., Argentina
Department of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada
Año:1997
Volumen:17
Número:6
Página de inicio:1299
Página de fin:1313
DOI: http://dx.doi.org/10.1017/S0143385797097678
Título revista:Ergodic Theory and Dynamical Systems
Título revista abreviado:Ergodic Theory Dyn. Syst.
ISSN:01433857
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01433857_v17_n6_p1299_Cabrelli

Referencias:

  • Bamón, R., Plaza, S., Vera, J., On central Cantor sets with self-arithmetic difference of positive lebesgue measure (1995) J. London Math. Soc., 52 (2), pp. 137-146
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  • Brown, G., Moran, W., Raikov systems and radicals in convolution measure algebras (1983) J. London Math. Soc., 2 (28), pp. 531-542
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  • Mendes, P., Oliveira, F., On the topological structure of the arithmetic sum of two Cantor sets (1994) Nonlinearity, 7, pp. 329-343
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  • Palis, J., Takens, F., (1993) Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations Studies in Advanced Mathematics, 35. , Cambridge University Press
  • Salem, R., On sets of multiplicity for trigonometrical series (1942) Amer. J. Math., 64, pp. 531-538
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  • Steinhaus, H., Nowa wlasność mnogości G. Cantora (1916) Wektor, 6, pp. 105-107
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Citas:

---------- APA ----------
Cabrelli, C.A., Hare, K.E. & Molter, U.M. (1997) . Sums of Cantor sets. Ergodic Theory and Dynamical Systems, 17(6), 1299-1313.
http://dx.doi.org/10.1017/S0143385797097678
---------- CHICAGO ----------
Cabrelli, C.A., Hare, K.E., Molter, U.M. "Sums of Cantor sets" . Ergodic Theory and Dynamical Systems 17, no. 6 (1997) : 1299-1313.
http://dx.doi.org/10.1017/S0143385797097678
---------- MLA ----------
Cabrelli, C.A., Hare, K.E., Molter, U.M. "Sums of Cantor sets" . Ergodic Theory and Dynamical Systems, vol. 17, no. 6, 1997, pp. 1299-1313.
http://dx.doi.org/10.1017/S0143385797097678
---------- VANCOUVER ----------
Cabrelli, C.A., Hare, K.E., Molter, U.M. Sums of Cantor sets. Ergodic Theory Dyn. Syst. 1997;17(6):1299-1313.
http://dx.doi.org/10.1017/S0143385797097678