On the measure of arithmetic sums of Cantor sets

Indagationes Mathematicae

Volumn 8, Issue 1, 1997, Pages 133-141

  Solomyak, Boris ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031584990     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(97)83357-5     Document Type: Article

References (9)

1. 1. Keane, M. and M. Smorodinsky - On the morphology of sums of Cantor sets. Preprint.
2. 2. Keane, M., M. Smorodinsky and B. Solomyak - Morphology of γ-expansions with deleted digits. Trans. Amer. Math. Soc. 347, 955-966 (1995).
3. 3. Mendes, P. and F. Oliveira - On the topological structure of the arithmetic sum of two Cantor sets. Nonlinearity 7, 329-343 (1994).
4. 4. Moreira, C.G. and J.-C. Yoccoz. Preprint (1995).
5. 5. Palis, J. and F. Takens - Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations. Cambridge University Press (1993).
6. 6. Palis, J. and J.-C. Yoccoz - Homoclinic tangencies for hyperbolic sets of large Hausdorff dimension. Acta Math. 172, 91-136 (1994).
7. 7. Pollicott, M. and K. Simon - The Hausdorff dimension of λ-expansions with deleted digits. Trans. Amer. Math. Soc. 347, 967-983 (1995).
8. 8. Sannami, A. - An example of a regular Cantor set whose difference set is a Cantor set with positive measure. Hokkaido Math. J. 21, 7-24 (1992).
9. i (an Erdös problem). Annals of Math. 142, 611-625 (1995).