Fractal Geometrry in Muslim Cities: How Succession Law Shaped Morphology

Fractal-Shaped Reconfigurable Antennas

With the tremendous advancements in wireless communications, there is an increasing demand for miniature, low-cost, easy-to-fabricate, multiband and wideband antennas for use in commercial communications systems. As a part of an effort to further enhance modern communications systems technology, researchers have been studying different approaches for creating novel and innovative antennas. The ...

A Natural Law of Succession

Consider the following problem. You are given an alphabet of k distinct symbols and are told that the i symbol occurred exactly ni times in the past. On the basis of this information alone, you must now estimate the conditional probability that the next symbol will be i. In this report, we present a new solution to this fundamental problem in statistics and demonstrate that our solution outperf...

Roman-Dutch law in modern South African succession law

Simulating Cities as Fractal Picturescapes

Suppose I want to understand the 'structure' of something. Just what exactly does this mean? It means, of course, that I want to make a simple picture of it, which lets me grasp it as a whole. And it means, too, that as far as possible, I want to paint this picture out of as few elements as possible. The fewer the elements there are, the richer the relationships between them, and the more of th...

Fractal Weyl law for quantum fractal eigenstates.

The properties of the resonant Gamow states are studied numerically in the semiclassical limit for the quantum Chirikov standard map with absorption. It is shown that the number of such states is described by the fractal Weyl law, and their Husimi distributions closely follow the strange repeller set formed by classical orbits nonescaping in future times. For large matrices the distribution of ...