Results 11 to 20 of about 65,125 (273)
Numerical estimates of Hausdorff dimension [PDF]
Journal of Computational Physics, 1982 Numerical methods for estimating Hausdorff dimension, useful in the analysis of turbulence, are explained and applied to a specific example. In particular, methods involving rescaling and approximation by Cantor sets are discussed.
Alexandre J. Chorin
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Kolmogorov complexity and Hausdorff dimension
Information and Computation, 1989 This interesting note develops several formal relationships between program-size complexity of infinite strings and various measures of information content. The idea is to bound the complexity of a maximally complex string in a prescribed set of strings by the Hausdorff dimension as well as the entropy of that set.
Ludwig Staiger
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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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Hausdorff dimension and Kleinian groups [PDF]
Acta Mathematica, 1997 Let G be a non-elementary, finitely generated Kleinian group, Lambda(G) its limit set and Omega(G) = S \ Lambda(G) (S = the sphere) its set of discontinuity. Let delta(G) be the critical exponent for the Poincar series and let Lambda_c be the conical limit set of G. Suppose Omega_0 is a simply connected component of Omega(G).
Bishop, Christopher J., Jones, Peter W.
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A Generalization of the Hausdorff Dimension Theorem for Deterministic Fractals
Mathematics, 2021 How many fractals exist in nature or the virtual world? In this paper, we partially answer the second question using Mandelbrot’s fundamental definition of fractals and their quantities of the Hausdorff dimension and Lebesgue measure.
Mohsen Soltanifar
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GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong +12 more
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Hausdorff dimension of a quantum string [PDF]
Physical Review D, 1997 18 pages, non figures, ReVTeX 3.0, in print on Phys.Rev ...
Euro Spallucci +3 more
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On the fractal structure of two-dimensional quantum gravity [PDF]
, 1995 We provide evidence that the Hausdorff dimension is 4 and the spectral dimension is 2 for two-dimensional quantum gravity coupled the matter with a central charge $c \leq 1$.
Ambjørn +29 more
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On the Hausdorff dimension of the Rauzy gasket [PDF]
Bulletin de la Société mathématique de France, 2016 23 pages, 5 ...
Alexandra Skripchenko +3 more
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