The ϕ-Topological Conformal Dimension for the Sierpinski Carpet. Issue 1 (2nd January 2022)
- Record Type:
- Journal Article
- Title:
- The ϕ-Topological Conformal Dimension for the Sierpinski Carpet. Issue 1 (2nd January 2022)
- Main Title:
- The ϕ-Topological Conformal Dimension for the Sierpinski Carpet
- Authors:
- Mabrouk, Anouar Ben
Douzi, Zied
Selmi, Bilel - Abstract:
- Abstract: In this paper, a generalized fractal dimension is introduced based on a combination of the topological dimension, conformal dimension, and the ϕ -conformal dimension. Lower and upper bound estimates of the new variant of dimension are provided for the case of the Sierpinski carpet fractal set. Moreover, the equality of such bounds is proved for a large class of the basic measure ϕ .
- Is Part Of:
- Journal of dynamical systems and geometric theories. Volume 20:Issue 1(2022)
- Journal:
- Journal of dynamical systems and geometric theories
- Issue:
- Volume 20:Issue 1(2022)
- Issue Display:
- Volume 20, Issue 1 (2022)
- Year:
- 2022
- Volume:
- 20
- Issue:
- 1
- Issue Sort Value:
- 2022-0020-0001-0000
- Page Start:
- 33
- Page End:
- 53
- Publication Date:
- 2022-01-02
- Subjects:
- 28A20 -- 28A75 -- 28A78 -- 28A80 -- 49Q15
Hausdorff dimension -- Topological Hausdorff dimension -- Billingsley dimension -- Sierpinski carpet -- Conformal dimension
Differentiable dynamical systems -- Periodicals
Geometry -- Periodicals
Differentiable dynamical systems
Geometry
Periodicals
515.39 - Journal URLs:
- http://www.connectjournals.com/jdsgt ↗
http://www.tandfonline.com/loi/tdsg20 ↗
http://www.tarupublications.com/journals/jdsgt/scope-of%20the-journal.htm ↗ - DOI:
- 10.1080/1726037X.2022.2079264 ↗
- Languages:
- English
- ISSNs:
- 1726-037X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 22070.xml