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Publication Date Publication Date
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2011, ISBN 9780691125923, xi, 232 p., [12] p. of plates
...: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms... 
Perspective | Art | Fractals | Mathematics | Art & Art History | Textbooks | Perspective-Textbooks | Fractals-Textbooks | Art-Mathematics-Textbooks
Book
2010, ISBN 0199232571, xx, 585
Stochastic geometry is a subject with roots stretching back at least 300 years, but one which has only been formed as an academic area in the last 50 years... 
Stochastic geometry | Image analysis | Material science | Random patterns | Probability theory | Percolation theory | Randomized allocation | Fractals | Statistics
Book
Advances in theoretical and mathematical physics, ISSN 1095-0753, 2012, Volume 16, Issue 2, pp. 549 - 644
We introduce fractional flat space, described by a continuous geometry with constant non-integer Hausdorff and spectral dimensions... 
FOKKER-PLANCK EQUATION | BROWNIAN-MOTION | ANOMALOUS DIFFUSION | FRACTAL MEDIA | PHYSICAL INTERPRETATION | SPIN FOAM MODELS | CONTINUOUS MEDIUM MODEL | HEAT KERNEL | PHYSICS, MATHEMATICAL | QUANTUM-GRAVITY | MIXMASTER UNIVERSE | PHYSICS, PARTICLES & FIELDS
Journal Article
Nature physics, ISSN 1745-2481, 2018, Volume 15, Issue 2, pp. 127 - 131
The dimensionality of an electronic quantum system is decisive for its properties. In one dimension, electrons form a Luttinger liquid, and in two dimensions,... 
PHYSICS, MULTIDISCIPLINARY | SIERPINSKI GASKET | STATES | Scale invariance | Atomic force microscopy | Fractal geometry | Quantum dots | Quantum Hall effect | Fractals | Microscopy | Tunneling | Wave functions | Magnetic fields | Quantum theory | Electrons | Self-similarity
Journal Article
2003, 2nd ed., ISBN 0470848626, xxvii, 337
Since its original publication in 1990, Kenneth Falconer's Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals... 
Fractals
Book
Physical Chemistry Chemical Physics, ISSN 1463-9076, 11/2015, Volume 17, Issue 44, pp. 3134 - 3147
We investigate the ergodic properties of a random walker performing (anomalous) diffusion on a random fractal geometry... 
Computer simulation | Fractal geometry | Fractal analysis | Clusters | Percolation | Fractals | Diffusion | Ergodic processes
Journal Article
11/2018, ISBN 9789813275164, Volume 3
Book
2006, ISBN 0521844932, ix, 453
..., geometry, IFS and codes on the one hand and biology, DNA and protein development on the other... 
Fractals | Mathematics | Image processing | Digital techniques | Computer graphics
Book
2016, ISBN 030019787X, xx, 515
Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range... 
Fractals
Book
The EMBO Journal, ISSN 0261-4189, 01/2010, Volume 29, Issue 1, pp. 2 - 3
EMBO J 28 24, 3785-3798 (2009); published online 19 November 2009In his groundbreaking work, 'The Fractal Geometry of Nature' (Mandelbrot, 1982... 
BIOCHEMISTRY & MOLECULAR BIOLOGY | CELL BIOLOGY | Chromatin - ultrastructure | Models, Biological | Humans | Cell Nucleus - chemistry | Fractals | Cell Nucleus - ultrastructure | Chromatin - chemistry | Have You Seen ...?
Journal Article
Annals of physics, ISSN 0003-4916, 2014, Volume 350, pp. 146 - 158
... by differential operators of non integer order. Dealing with the relevant example of a viscous fluid seeping through a fractal shaped porous medium, we show that, once a physical phenomenon or process takes place on an underlying fractal geometry... 
Fractional differential equation | Transport process | Fractal geometry | Fractional calculus | ANOMALOUS DIFFUSION | TRANSPORT | LAW | PHYSICS, MULTIDISCIPLINARY | EQUATIONS | MEDIA | MODEL | VISCOELASTICITY | Calculus | Fractals | Physics | Dynamics | Mathematical analysis | Fractal analysis | Evolution | Mathematical models | Dynamical systems | Physics - Fluid Dynamics | DIFFERENTIAL EQUATIONS | FLUIDS | POROUS MATERIALS | FRACTALS | NONLINEAR PROBLEMS | SEEPS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANOMALOUS DIMENSION | GEOMETRY
Journal Article
Physical Chemistry Chemical Physics, ISSN 1463-9076, 2015, Volume 17, Issue 44, pp. 30134 - 30147
We investigate the ergodic properties of a random walker performing (anomalous) diffusion on a random fractal geometry... 
NONERGODICITY | MOTION | MODELS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | MECHANISMS | PLASMA-MEMBRANE | Diffusion | Monte Carlo Method | Fractals
Journal Article
Nature chemistry, ISSN 1755-4349, 2010, Volume 2, Issue 6, pp. 472 - 477
Journal Article
International journal of heat and mass transfer, ISSN 0017-9310, 2017, Volume 113, pp. 1031 - 1042
•Fractal Brownian motion is introduced to describe geometry structure of metal foam... 
Melting | Fractal | Phase change | Metal foam | SYSTEM | THERMAL-ENERGY STORAGE | MANAGEMENT | HEAT-TRANSFER | CARBON FOAM | ENGINEERING, MECHANICAL | NANOPARTICLES | MECHANICS | THERMODYNAMICS | PHASE-CHANGE MATERIALS | Analysis | Porosity
Journal Article