Fractality, Self-Similarity and Complex Dimensions

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dc.creatorLapidus, Michel L.
dc.creatorvan Frankenhuijsen, Machiel
dc.date2004-01-14
dc.date.accessioned2026-07-07T05:04:33Z
dc.date.available2026-07-07T05:04:33Z
dc.descriptionWe present an overview of a theory of complex dimensions of self-similar fractal strings, and compare this theory to the theory of varieties over a finite field from the geometric and the dynamical point of view. Then we combine the several strands to discuss a possible approach to establishing a cohomological interpretation of the complex dimensions.
dc.descriptionTo appear in Proceedings of Symposia of Pure Mathematics, title: "Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot"
dc.identifierhttps://arxiv.org/abs/math/0401156
dc.identifierhttp://arxiv.org/abs/math/0401156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69845
dc.subjectNumber Theory
dc.subjectPrimary 11M41, 28A80; Secondary 11G20, 11J70
dc.titleFractality, Self-Similarity and Complex Dimensions
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