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Título:
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On the packing measure of the Sierpinski gasket
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Autores:
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LLorente Comí, Marta ;
Mera Rivas, María Eugenia ;
Morán Cabré, Manuel
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Tipo de documento:
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texto impreso
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Editorial:
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Institute of Physics Publishing, 2018
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas
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Tipo = Artículo
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Resumen:
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We show that the s-dimensional packing measure P^{s}(S) of the Sierpinski gasket S, where s=((log3)/(log2)) is the similarity dimension of S, satisfies 1.6677?P^{s}(S)?1.6713.
We present a formula (see Theorem 6) that enables the achievement of the above measure bounds for this non-totally disconnected set as it shows that the symmetries of the Sierpinski gasket can be exploited to simplify the density characterization of P^{s} obtained in Morán M. (Nonlinearity, 2005) for self-similar sets satisfying the so-called Open Set Condition. Thanks to the reduction obtained in Theorem 6 we are able to handle the problem of computability of P^{s}(S) with a suitable algorithm.
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En línea:
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https://eprints.ucm.es/58898/1/version%20final%28previa%20prueba%20imprenta%29.pdf
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