Results 11 to 20 of about 8,164,309 (315)
The Expansion of Self-similar Functions in the Faber–Schauder System
Моделирование и анализ информационных систем, 2017 Let \(\Omega = A^{N}\) be a space of right-sided innite sequences drawn from a nite alphabet \(A = \{0,1\}\), \(N = \{1,2,\dots\}\). Let $$\label{rho} \rho(\boldsymbol{x},\boldsymbol{y}) =\sum_{k=1}^{\infty}|x_{k} - y_{k}|2^{-k}$$- be a metric on ...
Evgeniy A. Timofeev
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Positive-measure self-similar sets without interior [PDF]
, 2006 We recall the problem posed by Peres and Solomyak in Problems on self-similar and self-affine sets; an update. Progr. Prob. 46 (2000), 95–106: can one find examples of self-similar sets with positive Lebesgue measure, but with no interior?
Solomyak, B +9 more
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Fractal Antennas: An Historical Perspective
Fractal and Fractional, 2020 Fractal geometry has been proven to be useful in several disciplines. In the field of antenna engineering, fractal geometry is useful to design small and multiband antenna and arrays, and high-directive elements.
Jaume Anguera +7 more
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Notes on the Transversality Method for Iterated Function Systems—A Survey
Mathematical and Computational Applications, 2023 This is a brief survey of selected results obtained using the “transversality method” developed for studying parametrized families of fractal sets and measures. We mostly focus on the early development of the theory, restricting ourselves to self-similar
Boris Solomyak
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Self-similarity in the Foundations [PDF]
The Bulletin of Symbolic Logic, 2019 Ph.D ...
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On TCP and self-similar traffic [PDF]
Performance Evaluation, 2005 We re-examine the same TCP trace that was used by Veres et al. [A. Veres, M. Boda, The chaotic nature of TCP congestion control, in: Proceedings of the IEEE INFOCOM, 2000] to claim that TCP creates self-similar traffic. A careful reassessment of their data analysis shows that this claim is not justified and suggests that the TCP trace in question is ...
Daniel R. Figueiredo 0001 +5 more
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A p.c.f. self-similar set with no self-similar energy [PDF]
Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2019 An example of a p.c.f. ( post-critically finite ) self-similar set without eigenform for any set of weights, is provided. The existence of an eigenform on such sets was an important, long-standing open problem in analysis on fractals.
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Foveated Nonlocal Self-Similarity [PDF]
International Journal of Computer Vision, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alessandro Foi, Giacomo Boracchi
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Computability of Self‐Similar Sets [PDF]
Mathematical Logic Quarterly, 1999 AbstractWe investigate computability of a self‐similar set on a Euclidean space. A nonempty compact subset of a Euclidean space is called a self‐similar set if it equals to the union of the images of itself by some set of contractions. The main result in this paper is that if all of the contractions are computable, then the self‐similar set is a ...
Hiroyasu Kamo, Kiko Kawamura
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