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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
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
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
1991, ISBN 9780471927983, xv, 249
Book
1995, ISBN 9783540940951, xiv, 323
Book
1989, 1st ed., ISBN 9780895738882, xxv, 421
Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye... 
Fractals | Geometry, Algebraic
Book
Journal of Natural Gas Science and Engineering, ISSN 1875-5100, 03/2016, Volume 30, pp. 578 - 582
High-resolution images provide detailed information about pores whose characteristic sizes are usually on the order of few nanometers to micrometers in shales,... 
Pore space | Fractal | Shale | HORIZONTAL WELLS | ENERGY & FUELS | RELATIVE PERMEABILITY | PORE STRUCTURE | RESISTIVITY | FLOW | ENGINEERING, CHEMICAL | PRESSURE | TRANSPORT | POROUS-MEDIA | TIGHT-GAS | SANDSTONE PORES
Journal Article
1999, 2ème éd. augmentée., ISBN 3540655042, xx, 377
Book
Nanoscale, ISSN 2040-3364, 10/2016, Volume 8, Issue 40, pp. 17658 - 17664
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2018, Volume 511, pp. 1 - 17
The box counting dimension of a complex network , and the generalized dimensions of , have been well studied. However, the Hausdorff dimension of a geometric... 
Multifractals | Hausdorff dimension | Generalized dimensions | Fractal dimensions | Box counting | Complex networks | SELF-SIMILARITY | PHYSICS, MULTIDISCIPLINARY | INFORMATION DIMENSION
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 08/2018, Volume 113, pp. 125 - 134
Fractal nests are sets defined as unions of unit -spheres scaled by a sequence of for some  > 0. In this article we generalise the concept to subsets of such... 
fractal nests | Minkowski-Bouligand dimension | (a,b)-bifractals | box-counting dimension | uniform Cantor set | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | (a, b)-bifractals | PHYSICS, MATHEMATICAL | Mathematics - Metric Geometry
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 02/2019, Volume 119, pp. 210 - 214
In past two decades a wide range of complex systems, spanning many different disciplines, have been structured in the form of networks. Network dimension is a... 
Box-counting algorithm | Information dimensions | Fractals | D-summability | Complex networks | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | PHYSICS, MATHEMATICAL | INFORMATION DIMENSION
Journal Article
Tribology Letters, ISSN 1023-8883, 4/2014, Volume 54, Issue 1, pp. 99 - 106
Journal Article
NATURE CHEMISTRY, ISSN 1755-4330, 07/2019, Volume 11, Issue 7, pp. 599 - 600
Nature harnesses fractal geometry to create structures with unusual surface-to-volume ratios. Now, a new design approach enables the reversible assembly of... 
CHEMISTRY, MULTIDISCIPLINARY | Biomedical materials | Fractal geometry | Harnesses | Biomaterials | Index Medicus
Journal Article
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