Keyword: Sierpinski Carpets : Search

Processing math: 100%

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Advanced Search

SEARCH GUIDE

Results: 1 - 2of2

Follow results:

per page:

Sort: Relevance

Context for search term 1Search term 1*

All Dates

LastSelect static range

Custom Range

Select starting monthSelect starting year

Select ending monthSelect ending year

Search name	Searched On	Run search
Keyword: Assessment Methods (2)	30 Mar 2025	Run
Keyword: Sierpinski Carpets (2)	30 Mar 2025	Run
Keyword: Graphics Processor (1)	30 Mar 2025	Run
Keyword: Transient Modeling (1)	30 Mar 2025	Run
Keyword: Pullback Attractor (18)	30 Mar 2025	Run

articleNo Access
SUBSETS OF THE GENERAL SIERPINSKI CARPET WITH MIXED GROUP FREQUENCIES
- YONGXIN GUI and
- WENXIA LI
International Journal of Mathematics01 Oct 2009
Preview Abstract
We consider a class of subsets of the general Sierpinski carpet which is characterized by insisting that the allowed digits in the expansion occur with prescribed mixing group frequencies, determine their Hausdorff dimensions and give the necessary and sufficient conditions for their corresponding Hausdorff measures to be positive and finite.
articleNo Access
INTERSECTIONS OF TRANSLATION OF A CLASS OF SIERPINSKI CARPETS
- JIAN LU,
- BO TAN, and
- YURU ZOU
Fractals01 Jun 2018
Preview Abstract
For $β \in (0, \frac{1}{2})$ , a middle- $(1 - 2 β)$ Sierpinski carpet $Γ_{β}$ is defined as the self-similar set generated by the iterated function system (IFS) ${F_{i}}_{i = 1}^{4}$ , where $F_{i} : ℝ^{2} \to ℝ^{2}$ is defined by
$F_{i} (x, y) = β {(x, y)}^{t} + (1 - β) X_{i}, i = 1, \dots, 4 .$
Here, $X_{i} \in {0, 1} \times {0, 1}$ . In this paper, for $T \in Γ_{β} - Γ_{β}$ , we investigated the equivalent characterizations of the intersection $Γ_{β} \cap (Γ_{β} + T)$ being a generalized Moran set. Furthermore, under some conditions, we show that $Γ_{β} \cap (Γ_{β} + T)$ can be represented as a graph-directed set satisfying the open set condition (OSC), and then the Hausdorff dimension can be explicitly calculated.

1