Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Mustafa Saltan"'
Autor:
Melis Güneri, Mustafa Saltan
Publikováno v:
Fractal and Fractional, Vol 3, Iss 1, p 13 (2019)
In recent years, intrinsic metrics have been described on various fractals with different formulas. The Sierpinski gasket is given as one of the fundamental models which defined the intrinsic metrics on them via the code representations of the points
Externí odkaz:
https://doaj.org/article/587026aaa4dd41408d93bf137111dc81
Autor:
Mustafa Saltan
Publikováno v:
Symmetry, Vol 10, Iss 6, p 204 (2018)
The classical Sierpinski Gasket defined on the equilateral triangle is a typical example of fractals. Sierpinski-like triangles can also be constructed on isosceles or scalene triangles. An explicit formula for the intrinsic metric on the classical S
Externí odkaz:
https://doaj.org/article/0da41f2d62174cdebc5a32605a1a5d88
Publikováno v:
Filomat. 35:2317-2331
The dynamical systems on the classical fractals can naturally be obtained with the help of their iterated function systems. In the recent years, different ways have been developed to define dynamical systems on the self similar sets. In this paper, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa90b9a52bb2ca273756acb4d6a40725
https://doi.org/10.2298/fil2107317a
https://doi.org/10.2298/fil2107317a
Publikováno v:
Chaos, Solitons & Fractals. 123:422-428
The intrinsic metric formula on the code set of the Sierpinski Gasket is explicitly given in Definition 1.1. In this paper, we obtain the intrinsic metric formula on the code set of the Sierpinski tetrahedron and we investigate some geometrical prope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d2d79d3ce7638b642bd66e426dd54fa
https://doi.org/10.1016/j.chaos.2019.04.018
https://doi.org/10.1016/j.chaos.2019.04.018
Publikováno v:
Bulletin of the Iranian Mathematical Society. 45:1269-1281
The box fractal is one of the typical examples of the self-similar sets obtained as the attractor of an iterated function system. In the literature, there is no work giving the intrinsic metric defined by using the code set of the box fractal. In thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce247c9df7944dd02c5cfe131dc3462f
https://doi.org/10.1007/s41980-018-00197-w
https://doi.org/10.1007/s41980-018-00197-w
Publikováno v:
Chaos, Solitons & Fractals. 159:112123
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22b1b531bc97116a564d029f5e7a3dc3
https://doi.org/10.1016/j.chaos.2022.112123
https://doi.org/10.1016/j.chaos.2022.112123
Publikováno v:
Journal of Abstract and Computational Mathematics, Vol 3, Iss 4, Pp 1-15 (2018)
Fractals are fascinating shapes that have many examples in the nature and have the self-similarity property. In recent years, many studies have been made to obtain different fractal sets. There are several methods to generate these sets such as itera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::d128ce746c754dd00241b4140c5bb40e
https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8489
https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8489
Autor:
Nisa Aslan, Mustafa Saltan
Publikováno v:
Volume: 70, Issue: 1 320-330
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
In this paper, we first define an equivalence relation on the sequence space $\Sigma _{2}$. Then we equip the quotient set $\Sigma _{2}/_{\sim}$ with a metric $d_1$. We also determine an isometry map between the metric spaces $(\Sigma _{2}/_{\sim},d_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3de9c66ae7ed6234cf3fc2069f47c55
https://dergipark.org.tr/tr/pub/cfsuasmas/issue/58214/729550
https://dergipark.org.tr/tr/pub/cfsuasmas/issue/58214/729550
WOS: 000435968700005
In this paper, we examine the number of geodesics between two points of the Sierpinski Gasket (S) via code representations of the points and as a main result we show that the maximum number of geodesics between different two
In this paper, we examine the number of geodesics between two points of the Sierpinski Gasket (S) via code representations of the points and as a main result we show that the maximum number of geodesics between different two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81ec36f1b3504bfbc12ec7dce72c6a47
https://hdl.handle.net/11421/18061
https://hdl.handle.net/11421/18061
Publikováno v:
Volume: 42, Issue: 2 716-725
Turkish Journal of Mathematics
Turkish Journal of Mathematics
WOS: 000439013300024
The computation of the distance between any two points of the Sierpinski gasket with respect to the intrinsic metric has already been investigated by several authors. However, to the best of our knowledge, in the literature
The computation of the distance between any two points of the Sierpinski gasket with respect to the intrinsic metric has already been investigated by several authors. However, to the best of our knowledge, in the literature
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b95d67b760aeb7a33f7f46aa99f63f7
http://arxiv.org/abs/1609.08302
http://arxiv.org/abs/1609.08302