Some dimensional results for a class of special homogeneous Moran sets
Czechoslovak Mathematical Journal, Tome 66 (2016) no. 1, pp. 127-135.
Voir la notice de l'article dans Czech Digital Mathematics Library
We construct a class of special homogeneous Moran sets, called $\{m_{k}\}$-quasi homogeneous Cantor sets, and discuss their Hausdorff dimensions. By adjusting the value of $\{m_{k}\}_{k\ge 1}$, 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; $\{m_{k}\}$-Moran set; $\{m_{k}\}$-quasi homogeneous Cantor set; Hausdorff dimension
Mots-clés : homogeneous Moran set; $\{m_{k}\}$-Moran set; $\{m_{k}\}$-quasi homogeneous Cantor set; Hausdorff dimension
@article{10_1007_s10587_016_0245_2, author = {Hu, Xiaomei}, title = {Some dimensional results for a class of special homogeneous {Moran} sets}, journal = {Czechoslovak Mathematical Journal}, pages = {127--135}, publisher = {mathdoc}, volume = {66}, number = {1}, year = {2016}, doi = {10.1007/s10587-016-0245-2}, mrnumber = {3483228}, zbl = {06587879}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0245-2/} }
TY - JOUR AU - Hu, Xiaomei TI - Some dimensional results for a class of special homogeneous Moran sets JO - Czechoslovak Mathematical Journal PY - 2016 SP - 127 EP - 135 VL - 66 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0245-2/ DO - 10.1007/s10587-016-0245-2 LA - en ID - 10_1007_s10587_016_0245_2 ER -
%0 Journal Article %A Hu, Xiaomei %T Some dimensional results for a class of special homogeneous Moran sets %J Czechoslovak Mathematical Journal %D 2016 %P 127-135 %V 66 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-016-0245-2/ %R 10.1007/s10587-016-0245-2 %G en %F 10_1007_s10587_016_0245_2
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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