Geodesic
$L_\infty $-locality of three-dimensional Peano curves
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Topology and physics, Tome 302 (2018), pp. 234-267

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A theory and corresponding algorithms are developed for fast and accurate evaluation of the $L_\infty $-locality (i.e., the maximum cube-to-line ratio in the maximum metric) for polyfractal three-dimensional Peano curves.
Keywords: maximum metric, three-dimensional Peano curves, dyadic curves, cubically decomposable curves, cube-to-linear ratio.
Mots-clés : polyfractal curves 
@article{TM_2018_302_a10,
     author = {A. A. Korneev and E. V. Shchepin},
     title = {$L_\infty $-locality of three-dimensional {Peano} curves},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {234--267},
     publisher = {mathdoc},
     volume = {302},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_302_a10/}
}
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A. A. Korneev; E. V. Shchepin. $L_\infty $-locality of three-dimensional Peano curves. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Topology and physics, Tome 302 (2018), pp. 234-267. http://geodesic.mathdoc.fr/item/TM_2018_302_a10/