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Publication Date Publication Date
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1995, ISBN 9783540940951, xiv, 323
Book
2006, 1st ed., Springer Monographs in Mathematics, ISBN 0387332855, xxii, 460
Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional... 
Fractals | Geometry, Riemannian | Number theory | Functions, Zeta | Functional Analysis | Global Analysis and Analysis on Manifolds | Mathematics | Number Theory | Dynamical Systems and Ergodic Theory | Measure and Integration | Partial Differential Equations
Book
1999, 2ème éd. augmentée., ISBN 3540655042, xx, 377
Book
Tribology Letters, ISSN 1023-8883, 4/2014, Volume 54, Issue 1, pp. 99 - 106
Journal Article
2006, Monograph series on nonlinear science and complexity, ISBN 0444521895, Volume 2, 258
This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of... 
Poincaré series | Fractals | Poincare series
eBook
Journal of Atmospheric and Solar-Terrestrial Physics, ISSN 1364-6826, 05/2015, Volume 127, pp. 66 - 72
Journal Article
05/2019, SEMA SIMAI Springer series, ISBN 9783030166441, Volume 19, 217
This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal... 
Fractal analysis
eBook
1990, Meddeleleser (Norsk institutt for skogforskning), ISBN 9788271694715, Volume 43.6., 11
Book
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 09/2017, Volume 27, Issue 10, p. 1750164
Definitions of Hausdorff–Lebesgue measure and dimension are introduced. Combination of Hausdorff and Lebesgue ideas are used. Methods for upper and lower... 
Lorenz system | fractal | attractors | Hausdorff-Lebesgue | Hausdorff | dimension | Lyapunov | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | Mathematics - Dynamical Systems
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 05/2019, Volume 29, Issue 5, pp. 053110 - 053110
In this article, we propose and investigate the possibility of signature identification based on its fractal Minkowski dimension. We consider a signature as a... 
MATHEMATICS, APPLIED | FRACTAL DIMENSION | MOTION | PHYSICS, MATHEMATICAL | ALGORITHM | VERIFICATION | Signatures | Fractals | Machine learning
Journal Article
Information Sciences, ISSN 0020-0255, 2008, Volume 178, Issue 12, pp. 2722 - 2733
This article discusses methods to identify plants by analysing leaf complexity based on estimating their fractal dimension. Leaves were analyzed according to... 
biometrics | Image processing | Fractal dimension | Vegetal taxonomy | image processing | TEXTURE | IMAGES | fractal dimension | SEGMENTATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | vegetal taxonomy | BONE | Analysis
Journal Article
ACM Transactions on Computation Theory (TOCT), ISSN 1942-3454, 07/2015, Volume 7, Issue 3, pp. 1 - 26
We define the lower and upper mutual dimensions mdim ( x : y ) and Mdim ( x : y ) between any two points x and y in Euclidean space. Intuitively, these are the... 
data processing inequality | Computable analysis | mutual information | effective fractal dimensions | Kolmogorov complexity | Data processing inequality | Effective fractal dimensions | Mutual information
Journal Article
Journal of Colloid And Interface Science, ISSN 0021-9797, 09/2017, Volume 502, pp. 193 - 200
Fullerene (C ) aggregation mechanisms in aqueous media require considerable attention in the near future due to the heavy use and application of... 
Characterization | Fractal dimension | Fullerene aggregates | NANOPARTICLES | BEHAVIOR | CHEMISTRY, PHYSICAL | C-60 | NATURAL ORGANIC-MATTER | HUMIC-ACID | WATER | Nanotechnology | Hydrology | Earth Sciences | Sciences of the Universe
Journal Article
Physical Review Letters, ISSN 0031-9007, 01/2014, Volume 112, Issue 4, pp. 043001 - 043001
We describe a simple technique for generating a cold-atom lattice pierced by a uniform magnetic field. Our method is to extend a one-dimensional optical... 
GASES | MAGNETIC-FIELDS | NEUTRAL ATOMS | DIRAC FERMIONS | PHYSICS, MULTIDISCIPLINARY | SUPERLATTICES | POTENTIALS | PHYSICS | TOPOLOGICAL EDGE STATES | OPTICAL LATTICES | Optical lattices | Phases | Lasers | Mathematical analysis | Lattices | Fractal analysis | Magnetic fields | Two dimensional
Journal Article
1987, ISBN 2225810311, xiv, 362
Book
Theoretical Computer Science, ISSN 0304-3975, 06/2018, Volume 731, pp. 68 - 87
If and are infinite sequences over a finite alphabet, then the and and are the upper and lower densities of the algorithmic information that is shared by and .... 
Coupled randomness | Effective fractal dimensions | Mutual information | Kolmogorov complexity | Algorithmic information theory | DEFINITION | COMPUTER SCIENCE, THEORY & METHODS | Computer science
Journal Article
Pattern Recognition, ISSN 0031-3203, 2009, Volume 42, Issue 11, pp. 2460 - 2469
Fractal dimension (FD) is a useful feature for texture segmentation, shape classification, and graphic analysis in many fields. The box-counting approach is... 
Texture image | Remote sensing image | Fractal dimension | Box-counting dimension | Fractional Brownian motion | SEGMENTATION | CLASSIFICATION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | GEOMETRY | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Remote sensing | Methods
Journal Article
Thrombosis and Haemostasis, ISSN 0340-6245, 2015, Volume 113, Issue 6, pp. 1251 - 1259
Journal Article
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