Results 31 to 40 of about 1,009,431 (281)
Multivariate analysis in vector time series [PDF]
, 2000 This paper reviews the applications of classical multivariate techniques for discrimination, clustering and dimension reduction for time series data. It is shown that the discrimination problem can be seen as a model selection problem.
Galeano, Pedro, Peña, Daniel
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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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Hyperbolic graphs: Critical regularity and box dimension
Transactions of the American Mathematical Society, 2019 We study fractal properties of invariant graphs of hyperbolic and partially hyperbolic skew product diffeomorphisms in dimension three. We describe the critical (either Lipschitz or at all scales H lder continuous) regularity of such graphs. We provide a formula for their box dimension given in terms of appropriate pressure functions.
Díaz, Lorenzo Justiniano +3 more
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The Discrepancy of Boxes in Higher Dimension [PDF]
Discrete & Computational Geometry, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chazelle, B., Lvov, A.
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Inhomogeneous self-similar sets and box dimensions
, 2012 We investigate the box dimensions of inhomogeneous self-similar sets. Firstly, we extend some results of Olsen and Snigireva by computing the upper box dimensions assuming some mild separation conditions.
Fraser, Jonathan M.
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Dimension and product structure of hyperbolic measures [PDF]
, 1999 We prove that every hyperbolic measure invariant under a C^{1+\alpha} diffeomorphism of a smooth Riemannian manifold possesses asymptotically ``almost'' local product structure, i.e., its density can be approximated by the product of the densities on ...
Barreira, Luis +2 more
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Box dimensions of (\timesm,\timesn)-invariant sets
Indiana University Mathematics Journal, 2023 We study the box dimensions of sets invariant under the toral endomorphism $(x, y) \mapsto (m x \text{ mod } 1, \, n y \text{ mod } 1)$ for integers $n>m \geq 2$. The basic examples of such sets are Bedford-McMullen carpets and, more generally, invariant sets are modelled by subshifts on the associated symbolic space.
Fraser, Jonathan, Jurga, Natalia
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Closed Contour Fractal Dimension Estimation by the Fourier Transform [PDF]
, 2011 This work proposes a novel technique for the numerical calculus of the fractal dimension of fractal objects which can be represented as a closed contour.
Beck +31 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Gastrointestinal graft‐versus‐host disease (GI GVHD) following hematopoietic stem cell transplant is typically managed with medical therapy, but surgery and angioembolization may be warranted in selected cases with life‐threatening complications.
Gaia Brunetti +12 more
wiley +1 more source
Progress on Fractal Dimensions of the Weierstrass Function and Weierstrass-Type Functions
Fractal and FractionalThe Weierstrass function W(x)=∑n=1∞ancos(2πbnx) is a function that is continuous everywhere and differentiable nowhere. There are many investigations on fractal dimensions of the Weierstrass function, and the investigation of its Hausdorff dimension is ...
Yue Qiu, Yongshun Liang
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