Geodesic
Some dimensional results for a class of special homogeneous Moran sets
Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 127-135.

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We construct a class of special homogeneous Moran sets, called {mk}-quasi homogeneous Cantor sets, and discuss their Hausdorff dimensions. By adjusting the value of {mk}k≥1, we constructively prove the intermediate value theorem for the homogeneous Moran set. Moreover, we obtain a sufficient condition for the Hausdorff dimension of homogeneous Moran sets to assume the minimum value, which expands earlier works.
DOI : 10.1007/s10587-016-0245-2
Classification : 28A80
Mots-clés : homogeneous Moran set; {mk}-Moran set; {mk}-quasi homogeneous Cantor set; Hausdorff dimension 
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Hu, Xiaomei. Some dimensional results for a class of special homogeneous Moran sets. Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 127-135. doi : 10.1007/s10587-016-0245-2. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0245-2/

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