# Questions tagged [fractals]

The tag has no usage guidance.

46 questions
Filter by
Sorted by
Tagged with
21 views

### Motion on fractal media

Can physical quantities such as displacement and velocity be defined for a body moving in fractional dimensions? For a point particle, the distance/displacement between any two points would be ...
73 views

### Is there a relation between this function and black holes?

I was fiddling with this complex function visualizer and accidentally found this function which looks a lot like the blackhole visualizations that I see on the net: $$f(z)=(z\bar{z}-1)^z$$ and I'm ...
96 views

### How to calculate fractal dimension by fitting on a log-log plot?

I have simulated a DLA pattern by MC method and the data is for fractal dimension. The right column is the number of particle N(r) into radius r and the left column is the radius r. I plotted a log-...
37 views

### Application of Correlation Dimension to Fractals other than Sets of Points

In Chaos Theory, the Correlation Dimension is defined to calculate the dimension of fractals. At least in the context where I've learnt it, it is applied to fractals made up of sets of points. Is it ...
55 views

### How to justify studies on fractal cosmology?

What are the arguments (theoretical and experimental) to support or to justify a fractal distribution of matter on all scales in cosmology? I see only one justification: On some small scales, matter ...
47 views

### Particle statistics in fractal dimensions? [closed]

We know that fermions and bosons are the only two (indistinguishable) particle statistics for $d\geq 3$, and that anyons are for $d=2.$ What if the space were a fractal? Like the Sierpinski gasket, ...
97 views

### Are quasicrystals always self-similar?

The diffraction patterns of quasicrystals very often display self-similarity ie. similarity under length scaling, thus relating them to fractals. My question is: Do they always display self-...
68 views

### Entropy of natural networks [duplicate]

How does one define the entropy of a natural network (say for example, a river network, or a morphological skeletal network of a lake in the figure below) ? For example, the following report suggests ...
67 views

2k views

### Literature on fractal properties of quasicrystals

At the seminar where the talk was about quasicrystals, I mentioned that some results on their properties remind the fractals. The person who gave the talk was not too fluent in a rigor mathematics ...
1k views

### Physics-oriented books on fractals

I'm looking for some good books on fractals, with a spin to applications in physics. Specifically, applications of fractal geometry to differential equations and dynamical systems, but with emphasis ...