Sums of Cantor sets
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.
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| Otros Autores: | , |
| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Cambridge University Press
1997
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 03877caa a22004697a 4500 | ||
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| 001 | PAPER-3087 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518203233.0 | ||
| 008 | 190411s1997 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-0031325079 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Cabrelli, C.A. | |
| 245 | 1 | 0 | |a Sums of Cantor sets |
| 260 | |b Cambridge University Press |c 1997 | ||
| 270 | 1 | 0 | |m Cabrelli, C.A.; Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pab. I, (1428) Bs.As., Argentina; email: ccabrell@mate.dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a 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 | ||
| 504 | |a Boas R.P., Jr., (1960) A Primer of Real Functions (The Carus Mathematical Monographs), , The Mathematical Association of America, Washington, D.C | ||
| 504 | |a Brown, G., Keane, M.S., Moran, W., Pearce, C.E.M., An inequality, with applications to Cantor measures and normal numbers (1988) Mathematika, 35, pp. 87-94 | ||
| 504 | |a Brown, G., Moran, W., Raikov systems and radicals in convolution measure algebras (1983) J. London Math. Soc., 2 (28), pp. 531-542 | ||
| 504 | |a Dubuc, E.J., (1994), Private Communication; Falconer, K.J., (1990) Fractal Geometry, Mathematical Foundations and Applications, , John Wiley & Sons | ||
| 504 | |a Kraft, R.L., Intersections of thick Cantor sets (1992) Mem. Amer. Math. Soc., 97 (468) | ||
| 504 | |a Mendes, P., Oliveira, F., On the topological structure of the arithmetic sum of two Cantor sets (1994) Nonlinearity, 7, pp. 329-343 | ||
| 504 | |a Newhouse, S.E., Lectures on dynamical systems (1980) Dynamical Systems, C.I.M.E. Lectures (Bressanoe, Italy, 1978) Progress in Mathematics, 8, pp. 1-114. , Birkhäuser | ||
| 504 | |a Palis, J., Takens, F., (1993) Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations Studies in Advanced Mathematics, 35. , Cambridge University Press | ||
| 504 | |a Salem, R., On sets of multiplicity for trigonometrical series (1942) Amer. J. Math., 64, pp. 531-538 | ||
| 504 | |a Sannami, A., An example of a regular Cantor set whose difference set is a Cantor set with positive measure (1992) Hokkaido Math. J., 21, pp. 7-24 | ||
| 504 | |a Steinhaus, H., Nowa wlasność mnogości G. Cantora (1916) Wektor, 6, pp. 105-107 | ||
| 504 | |a (1985) Hugo Steinhaus: Selected Papers, , Polish Scientific Publishers | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pab. I, (1428) Bs.As., Argentina | ||
| 593 | |a Department of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada | ||
| 700 | 1 | |a Hare, K.E. | |
| 700 | 1 | |a Molter, U.M. | |
| 773 | 0 | |d Cambridge University Press, 1997 |g v. 17 |h pp. 1299-1313 |k n. 6 |p Ergodic Theory Dyn. Syst. |x 01433857 |w (AR-BaUEN)CENRE-1035 |t Ergodic Theory and Dynamical Systems | |
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| 856 | 4 | 0 | |u https://doi.org/10.1017/S0143385797097678 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_01433857_v17_n6_p1299_Cabrelli |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01433857_v17_n6_p1299_Cabrelli |y Registro en la Biblioteca Digital |
| 961 | |a paper_01433857_v17_n6_p1299_Cabrelli |b paper |c PE | ||
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