We consider for an anyon gas its termodynamics properties taking into account the fractal statistics obtained by us recently. This approach describes the anyonic excitations in terms of equivalence classes labeled by fractal parameter or Hausdorff dimension h. PACS numbers: 05.30.-d, 05.70Ce

We report the degree of order of twenty two Jackson Pollock's paintings using Hausdorff-Besicovitch fractal dimension. Through the maximum value of each multi-fractal spectrum, the fractality of the artworks is presented as a function of the year in which they were painted. It has been reported that Pollock's paintings are fractal and it increased on his latest works. However our results show t...

Fractal dimension has been found not suitable to be used solely in classifying natural earth terrain. This is due to the fact that surfaces with different texture may portray similar fractal dimensions. Evertsz and Mandelbrot [Evertsz, et. al. 1992] suggested that multifractal dimension may be a more appropriate parameter than fractal dimension in describing geometrical properties of a fractal ...

The present work describes the evaluation of the conventional roughness parameters and fractal dimensions of the surface profiles generated by turning of brass with different machining conditions such as depth of cut, work-piece speed and feed rate. The surface roughness parameters on the generated-turned surfaces were measured with a stylus-type profilometer and processed through the dedicated...

The D fractional Brownian motion fBm model is useful in describing natural scenes and textures Most fractal estimation algorithms for D isotropic fBm images are simple extensions of the D fBm estimation method This method does not perform well when the image size is small say We propose a new algorithm that estimates the fractal parameter from the decay of the variance of the wavelet coe cients...

The probability that a nearest neighbour random walker is at the origin on a given structure, as t → ∞, is known to scale as t−d̄/2, where d̄ is a scaling parameter which depends on the geometry of the structure. Knowledge of the parameter d̄ gives useful information concerning the properties of the system and is used in condensed matter physics, chemistry and in other areas where diffusive phenom...

The two-dimensional (2-D) fractional Brownian motion (fBm) model is useful in describing natural scenes and textures. Most fractal estimation algorithms for 2-D isotropic fBm images are simple extensions of the one-dimensional (1-D) fBm estimation method. This method does not perform well when the image size is small (say, 32x32). We propose a new algorithm that estimates the fractal parameter ...

Devil's lenses (DLs) were recently proposed as a new kind of kinoform lens in which the phase structure is characterized by the "devil's staircase" function. DLs are considered fractal lenses because they are constructed following the geometry of the triadic Cantor set and because they provide self-similar foci along the optical axis. Here, DLs are generalized allowing the inclusion of polyadic...

This article proposes a methodology for the classification of fractal signals as stationary or nonstationary. The methodology is based on the theoretical behavior of two-parameter wavelet entropy of fractal signals. The wavelet (q, q′)-entropy is a wavelet-based extension of the (q, q′)-entropy of Borges and is based on the entropy planes for various q and q′; it is theoretically shown that it ...