Results 11 to 20 of about 12,741 (164)
Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]
Demonstratio Mathematica, 2021 Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant Borel probability measure associated with their iterated function systems.
Byars Allison +5 more
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Characterization of the Local Growth of Two Cantor-Type Functions
Fractal and Fractional, 2019 The Cantor set and its homonymous function have been frequently utilized as examples for various physical phenomena occurring on discontinuous sets.
Dimiter Prodanov
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Using cantor sets for error detection [PDF]
PeerJ Computer Science, 2019 Error detection is a fundamental need in most computer networks and communication systems in order to combat the effect of noise. Error detection techniques have also been incorporated with lossless data compression algorithms for transmission across ...
Nithin Nagaraj
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Visible and Invisible Cantor Sets [PDF]
, 2012 In this article we study for which Cantor sets there exists a gauge-function h, such that the h-Hausdorff-measure is positive and finite. We show that the collection of sets for which this is true is dense in the set of all compact subsets of a Polish space X.
Cabrelli, Carlos +2 more
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Assouad and Lower Dimensions of Some Homogeneous Cantor Sets
Journal of Mathematics, 2022 We compute the Assouad dimensions and the lower dimensions of a class of homogeneous Cantor sets without the condition that the smallest compression ratio C⋆>0 and find that the lower dimension of a homogeneous Cantor set E may be any a number in the ...
Xiao JiaQing
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Gramatyka nieskończoności. Ludwiga Wittgensteina krytyka teorii mnogości
Analiza i Egzystencja, 2023 The paper discusses a relatively underexamined element of Wittgenstein’s philosophy of mathematics associated with his critique of set theory. I outline Wittgenstein’s objections to the theories of Dedekind and Cantor, including the confounding of ...
Piotr Dehnel
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Julia sets and wild Cantor sets [PDF]
Geometriae Dedicata, 2014 There exist uniformly quasiregular maps $f:\mathbb{R}^3 \to \mathbb{R}^3$ whose Julia sets are wild Cantor sets.
Fletcher, Alastair, Wu, Jang-Mei
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Some remarks on the Hausdorff measure of the Cantor set
SHS Web of Conferences, 2016 In this paper, the author further reveals some intrinsic properties of the Cantor set. By the properties, the author gives a new method for calculating the exact value of the Hausdorff measure of the Cantor set, and shows the facts that each covering ...
Wang Minghua
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Journal of Approximation Theory, 2014 We give an example of Cantor type set for which its equilibrium measure and the corresponding Hausdorff measure are mutually absolutely continuous. Also we show that these two measures are regular in Stahl-Totik sense.
Gökalp Alpan, Alexander Goncharov
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Fractional Diffusion to a Cantor Set in 2D
Fractal and Fractional, 2020 A random walk on a two dimensional square in R2 space with a hidden absorbing fractal set Fμ is considered. This search-like problem is treated in the framework of a diffusion–reaction equation, when an absorbing term is included inside a Fokker–Planck ...
Alexander Iomin, Trifce Sandev
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