Zobrazeno 1 - 10
of 17
pro vyhledávání: '"LIGIA L. CRISTEA"'
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 27, Iss 2, Pp 147-153 (2007)
The b-adic diaphony is a quantitative measure for the irregularity of distribution of a point set in the s-dimensional unit cube. In this note we show that the b-adic diaphony (for prime b) of a point set consisting of N points in the s-dimensional u
Externí odkaz:
https://doaj.org/article/7d59890b022548d8a902b71fff570b19
Autor:
LIGIA L. CRISTEA, PAUL SURER
Publikováno v:
Fractals. 30
We introduce and study mixed triangular labyrinthic fractals, which can be seen as an extension of (generalized) Sierpiński gaskets. This is a new class of fractal dendrites that generalize the self-similar triangular labyrinth fractals studied rece
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b88a30d146ba5326e00a15a338534265
https://doi.org/10.1142/s0218348x22501353
https://doi.org/10.1142/s0218348x22501353
Autor:
Damir Vukicevic, Ligia L. Cristea
Mixed labyrinth fractals are dendrites in the unit square introduced by Cristea and Steinsky. They were studied recently by Cristea and Leobacher with respect to the lengths of arcs in the fractals. In this article we first give a construction method
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1e7ba0063fc736d6f862f13936268a1
http://arxiv.org/abs/2103.07468
http://arxiv.org/abs/2103.07468
Autor:
Bertran Steinsky, Ligia L. Cristea
Labyrinth fractals are self-similar fractals that were introduced and studied in recent work by Cristea and Steinsky. In the present paper we define and study more general objects, called mixed labyrinth fractals, that are in general not self-similar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3246781f9edadce7f1e6d4069da9778
http://arxiv.org/abs/2009.12206
http://arxiv.org/abs/2009.12206
Autor:
Paul Surer, Ligia L. Cristea
We define and study a class of fractal dendrites called triangular labyrinth fractals. For the construction, we use triangular labyrinth patterns systems that consist of two triangular patterns: a white and a yellow one. Correspondingly, we have two
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29e066a92aeaef495f4f3281c6390da1
Autor:
Milan Pasteka, Ligia L. Cristea
Publikováno v:
Uniform distribution theory. 12:123-138
The paper deals with a generalisation of uniform distribution. The analogues of Weyl's criterion are derived.
15 pages
15 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::744339234924f66d8f4f10a13aa40468
https://doi.org/10.1515/udt-2017-0008
https://doi.org/10.1515/udt-2017-0008
Autor:
Ligia L. Cristea, Gunther Leobacher
Labyrinth fractals are dendrites in the unit square. They were introduced and studied in the last decade first in the self-similar case [Cristea & Steinsky (2009,2011)], then in the mixed case [Cristea & Steinsky (2017), Cristea & Leobacher (2017)].
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e03015e046eb563f27b49142299c1cd
Autor:
Ligia L. Cristea, Gunther Leobacher
Publikováno v:
Monatshefte Fur Mathematik
Labyrinth fractals are self-similar dendrites in the unit square that are defined with the help of a labyrinth set or a labyrinth pattern. In the case when the fractal is generated by a horizontally and vertically blocked pattern, the arc between any
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c57aae9c84808ccf9eea180a640c0afc
Autor:
Ligia L. Cristea
This survey article is dedicated to some families of fractals that were introduced and studied during the last decade, more precisely, families of Sierpi\'nski carpets: limit net sets, generalised Sierpi\'nski carpets and labyrinth fractals. We give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37bd5e5a7683ca7bd96a6639011f01c2
Autor:
Ligia L. Cristea, Helmut Prodinger
Publikováno v:
Monatshefte für Mathematik. 175:333-346
We study certain order statistics with respect to (probability) mass distributions of multinomial type on the unit interval. The asymptotic behaviour of the average minimum and, respectively, maximum value among \(n\) words chosen independently at ra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3572e47ef8adf7aad31bf5a48dd48e4
https://doi.org/10.1007/s00605-014-0676-5
https://doi.org/10.1007/s00605-014-0676-5