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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 302, Pages 234–267
DOI: https://doi.org/10.1134/S0371968518030111 (Mi tm3937) 		 
This article is cited in 2 scientific papers (total in 3 papers)

$L_\infty $-locality of three-dimensional Peano curves

A. A. Korneev, E. V. Shchepin

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968518030111
Abstract: A theory and corresponding algorithms are developed for fast and accurate evaluation of the $L_\infty $-locality (i.e., the maximum cube-to-line ratio in the maximum metric) for polyfractal three-dimensional Peano curves.
Keywords: maximum metric, three-dimensional Peano curves, polyfractal curves, dyadic curves, cubically decomposable curves, cube-to-linear ratio.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 26
This work was supported by the Presidium of the Russian Academy of Sciences within program no. 26 “Fundamental bases of the development of algorithms and software for prospective and high-performance computing systems” (project “Multidimensional Fractal Peano Curves”).
Received: March 15, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 302, Pages 217–249
DOI: https://doi.org/10.1134/S0081543818060111
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Korneev, E. V. Shchepin, “$L_\infty $-locality of three-dimensional Peano curves”, Topology and physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 302, MAIK Nauka/Interperiodica, Moscow, 2018, 234–267; Proc. Steklov Inst. Math., 302 (2018), 217–249
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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