Results 11 to 20 of about 10,819,440 (309)
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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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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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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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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Dimension and measure theory of self-similar structures with no separation condition [PDF]
, 2015 We introduce methods to cope with self-similar sets when we do not assume any separation condition. For a self-similar set K ⊆ ℝᵈ we establish a similarity dimension-like formula for Hausdorff dimension regardless of any separation condition.
Farkas, Ábel
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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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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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Computing the Hessenberg matrix associated with a self-similar measure [PDF]
, 2011 We introduce in this paper a method to calculate the Hessenberg matrix of a sum of measures from the Hessenberg matrices of the component measures. Our method extends the spectral techniques used by G.
Torrano, E. +7 more
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