Results 21 to 30 of about 16,389 (269)
Invariant measures whose supports possess the strong open set property [PDF]
Opuscula Mathematica, 2008 Let \(X\) be a complete metric space, and \(S\) the union of a finite number of strict contractions on it. If \(P\) is a probability distribution on the maps, and \(K\) is the fractal determined by \(S\), there is a unique Borel probability measure ...
Gerald S. Goodman
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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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Image Quality Assessment Using Regularity of Color Distribution
IEEE Access, 2016 To quantify the perceptual quality of the color image, a novel reduced-reference computational model is proposed in this paper. The proposed metric, named regularity of color distribution measure, is designed to measure the difference of the color ...
Delei Liu, Fuzhong Li, Houbing Song
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Ergodic scales in fractal measures [PDF]
Mathematics of Computation, 2011 We will consider a family of fractal measures on the real line R \mathbb {R}
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On a new measure on fractals [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Golmankhaneh, Alireza K +1 more
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Recognition of the Pavilion in Relation to the Persian Garden from the Perspective of Fractal Geometry (Case Study: Pavilions of the Fathabad Garden in Kerman) [PDF]
منظرDespite numerous studies conducted on Iranian gardens, the analytical investigation of the role of gardens in the shaping of pavilions has not received significant attention.
Mohammadali Ashraf Ganjouei +1 more
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The Second Generalization of the Hausdorff Dimension Theorem for Random Fractals
Mathematics, 2022 In this paper, we present a second partial solution for the problem of cardinality calculation of the set of fractals for its subcategory of the random virtual ones.
Mohsen Soltanifar
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MathematicsIn this paper, we examine a sequence of uncountable iterated function systems (U.I.F.S.), where each term in the sequence is constructed from an uncountable collection of contraction mappings along with a linear and continuous operator.
Ion Mierluș–Mazilu, Lucian Niță
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Studying the relations between the fractal properties of the river networks and the flow time series [PDF]
مهندسی منابع آب, 2014 All the geophysical phenomena including river networks and flow time series are fractal events inherently and fractal patterns can be investigated through their behaviors.
m.h f, h. j
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Fractal Analysis of Overlapping Box Covering Algorithm for Complex Networks
IEEE Access, 2020 Due to extensive research on complex networks, fractal analysis with scale invariance is applied to measure the topological structure and self-similarity of complex networks. Fractal dimension can be used to quantify the fractal properties of the complex
Wei Zheng +4 more
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