Articles with "level sierpinski" as a keyword



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MEAN GEODESIC DISTANCE OF n-LEVEL SIERPINSKI CARPET

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Published in 2021 at "Fractals"

DOI: 10.1142/s0218348x21500961

Abstract: We investigate the [Formula: see text]-level Sierpinski carpets including the classical one for [Formula: see text], which are non-p.c.f. self-similar fractals. By using the finitely, many geometric patterns and the self-similar measure, we obtain the… read more here.

Keywords: mean geodesic; geodesic distance; level; formula see ... See more keywords
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Boundary value problems on part of a level-n Sierpinski gasket

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Published in 2017 at "Boundary Value Problems"

DOI: 10.1186/s13661-017-0781-1

Abstract: We study the boundary value problems for the Laplacian on a sequence of domains constructed by cutting level-n Sierpinski gaskets properly. Under proper assumptions on these domains, we manage to give an explicit Poisson integral… read more here.

Keywords: problems part; boundary value; value problems; level sierpinski ... See more keywords