Some dimensional results for a class of special homogeneous Moran sets
Czechoslovak Mathematical Journal (2016)
- Volume: 66, Issue: 1, page 127-135
- ISSN: 0011-4642
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topHu, Xiaomei. "Some dimensional results for a class of special homogeneous Moran sets." Czechoslovak Mathematical Journal 66.1 (2016): 127-135. <http://eudml.org/doc/276764>.
@article{Hu2016,
abstract = {We construct a class of special homogeneous Moran sets, called $\lbrace m_\{k\}\rbrace $-quasi homogeneous Cantor sets, and discuss their Hausdorff dimensions. By adjusting the value of $\lbrace m_\{k\}\rbrace _\{k\ge 1\}$, 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.},
author = {Hu, Xiaomei},
journal = {Czechoslovak Mathematical Journal},
keywords = {homogeneous Moran set; $\lbrace m_\{k\}\rbrace $-Moran set; $\lbrace m_\{k\}\rbrace $-quasi homogeneous Cantor set; Hausdorff dimension},
language = {eng},
number = {1},
pages = {127-135},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some dimensional results for a class of special homogeneous Moran sets},
url = {http://eudml.org/doc/276764},
volume = {66},
year = {2016},
}
TY - JOUR
AU - Hu, Xiaomei
TI - Some dimensional results for a class of special homogeneous Moran sets
JO - Czechoslovak Mathematical Journal
PY - 2016
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 66
IS - 1
SP - 127
EP - 135
AB - We construct a class of special homogeneous Moran sets, called $\lbrace m_{k}\rbrace $-quasi homogeneous Cantor sets, and discuss their Hausdorff dimensions. By adjusting the value of $\lbrace m_{k}\rbrace _{k\ge 1}$, 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.
LA - eng
KW - homogeneous Moran set; $\lbrace m_{k}\rbrace $-Moran set; $\lbrace m_{k}\rbrace $-quasi homogeneous Cantor set; Hausdorff dimension
UR - http://eudml.org/doc/276764
ER -
References
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