Results 31 to 40 of about 1,536 (100)
Hyperbolic dimension of Julia sets of meromorphic maps with logarithmic tracts
, 2007 We prove that for meromorphic maps with logarithmic tracts (e.g. entire or meromorphic maps with a finite number of poles from class $\mathcal B$), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1 ...
A. Zdunik +4 more
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The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 1, Page 11-21, 2002., 2002 We weaken the open set condition and define a finite intersection property in the construction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have positive and finite Hausdorff measures, which in certain extent generalize some of the known results ...
Hongwen Guo, Dihe Hu
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The concept of generalized convex contraction was introduced and studied by V. Istrăţescu and the notion of b-metric space was introduced by I. A. Bakhtin and S. Czerwik.
Georgescu Flavian
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On some non-conformal fractals
, 2010 This paper presents a simple method of calculating the Hausdorff dimension for a class of non-conformal ...
Gui Y +5 more
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Strongly nonlinear potential theory on metric spaces
Abstract and Applied Analysis, Volume 7, Issue 7, Page 357-374, 2002., 2002 We define Orlicz‐Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results. We prove that each Orlicz‐Sobolev function has a quasi‐continuous representative. We give estimates for the capacity of balls when
Noureddine Aïssaoui
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Fractal multiwavelets related to the cantor dyadic group
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 307-314, 1998., 1997 Orthogonal wavelets on the Cantor dyadic group are identified with multiwavelets on the real line consisting of piecewise fractal functions. A tree algorithm for analysis using these wavelets is described. Multiwavelet systems with algorithms of similar structure include certain orthogonal compactly supported multiwavelets in the linear double‐knot ...
W. Christopher Lang
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Abstract and Applied AnalysisMSC2020 Classification: 28A80, 47H10, 54E50 ...
A. Herminau Jothy +3 more
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Intermediate Value Property for the Assouad Dimension of Measures
Analysis and Geometry in Metric Spaces, 2020 Hare, Mendivil, and Zuberman have recently shown that if X ⊂ ℝ is compact and of non-zero Assouad dimension dimA X, then for all s > dimA X, X supports measures with Assouad dimension s. We generalize this result to arbitrary complete metric spaces.
Suomala Ville
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A Unified Framework Linking Entropy, Fractal Dimension, and Lyapunov Exponents in Chaotic Dynamics
Complexity, Volume 2026, Issue 1, 2026.This study presents a universal operator framework predicting critical transitions in nonlinear systems through the intrinsic nexus of entropy, fractal geometry, and chaos. We derive a unified model (Equation 4) that integrates fractal dimension (Dᵓ), Lyapunov exponents (λᵢ), and entropy (S) into a single predictive equation, justified through ...
Elio Quiroga Rodríguez, Naoki Masuda
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International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 97-106, 1995., 1993 We define the coordinate d‐dimension print to distinguish sets of same fractal dimension, and investigate its geometrical properties.
Hung Hwan Lee, In Soo Baek
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