Results 91 to 100 of about 3,112 (208)
Finite (Hausdorff) dimension of plants and roots as indicator of ontogeny
Revista de la Facultad de Ciencias Agrarias, 2019 The architecture of plants responds to endogenous processes and to the influence of environmental factors. The allometric study of architecture has been a challenge for biology. We define a new finite (Hausdorff) dimension of plants, that considers both
Juan M. Alonso +3 more
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Heisenberg Hausdorff Dimensionof Besicovitch Sets
Analysis and Geometry in Metric Spaces, 2014 We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates forthe Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
Venieri Laura
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Some lacunarity properties of partial quotients of real numbers
Comptes Rendus. MathématiqueWe consider lacunarity properties of sequence of partial quotients for real numbers in their continued fraction expansions. Hausdorff dimension of the sets of points with different lacunarity conditions on their partial quotients are calculated.
Zhao, Xuan, Zhang, Zhenliang
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Hausdorff dimension and quasisymmetric mappings.
MATHEMATICA SCANDINAVICA, 1989 An increasing embedding f of an interval of the real line is quasisymmetric if there is \(q\geq 1\) such that \(1/q\leq (f(x+t)- f(x))/(f(x)-f(x-t))\leq q\) for all distinct x, \(x+t\), x-t. The paper gives an example of a quasisymmetric map f of the unit interval I with the property that there is a measurable subset Y of I such that the Hausdorff ...
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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Dimension estimates of the attractor for the dissipative quantum Zakharov equations
Journal of Inequalities and Applications, 2019 The finite dimension estimates of Hausdorff dimension and fractal dimension of the attractor of the dissipative quantum Zakharov equations are mainly studied by using the estimates of the Lyapunov exponents. The main results on the attractor are obtained
Donglong Li, Yanfeng Guo
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Obesity Reviews, Volume 27, Issue 9, September 2026.ABSTRACT Artificial intelligence (AI) enables automated, high‐throughput adiposity quantification, offering refined risk stratification for women with overweight and obesity. We systematically reviewed and meta‐analyzed studies evaluating AI‐based segmentation of visceral, subcutaneous, and total fat in adult women populations (BMI: 25–29.9 and ≥ 30 kg/
Asefa Adimasu Taddese, Bjorn T. Tam
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Free semigroups of large critical exponent
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
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Correction: Biś, A., et al. Hausdorff Dimension and Topological Entropies of a Solenoid. Entropy 2020, 22, 506. [PDF]
Entropy (Basel), 2020 Biś A, Namiecińska A.
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