A considerable portion of Canada’s landmass is covered by grassland ecosystems. Insight into the grassland spatial heterogeneity will not only contribute to better understanding of the scale dependent ecological processes but will also help in management and monitoring. Leaf area index (LAI) is a key structural attribute of grassland that reflects primary production. It is well-known that topog...

The apparent`fractal' properties of TCP data traac have recently attracted considerable interest. Most prominently, fractional Brownian motion (FBM) has been used to model the long range dependence of traac traces through self-similarity. Traac being by nature a process of positive increments, though, a multifractal approach appears more natural. In this study, various traces of TCP traac have ...

Multifractal box counting analysis has been widely applied to study the scaling characteristics of grayscale images. Since bit depth is an important property of such images it is desirable know the impact of varying bit depths on the estimation of the generalized dimensions (Dq). We generated random geometrical multifractal grayscale fields, which were then transformed from double precision to ...

There are strong reasons to believe that the multifractal spectrum of DLA shows anomalies which have been termed left sided ME M In order to show that this is compatible with strictly multiplicative struc tures Mandelbrot et al M MEH introduced a one parameter family of multifractal measures invariant under in nitely many linear maps on the real line Under the assumption that the usual multifra...

We analyze the fractal behavior of the high frequency part of the Fourier spectrum of fBm using multifractal analysis and show that it is not consistent with what is measured on real traac traces. We propose two extensions of fBm which come closer to actual traac traces multifractal properties.

We show how multifractal properties of a measure supported by a fractal F ⊆ [0, 1] may be expressed in terms of complementary intervals of F and thus in terms of spectral triples and the Dixmier trace of certain operators. For self-similar measures this leads to a non-commutative integral over F equivalent to integration with respect to an auxiliary multifractal measure.

We report the experimental observation of strong multifractality in wave functions below the Anderson localization transition in open three-dimensional elastic networks. Our results confirm the recently predicted symmetry of the multifractal exponents. We have discovered that the result of multifractal analysis of real data depends on the excitation scheme used in the experiment.

When modelling and simulating networked control systems (NCSs) over TCP/IP network protocols, we obtained network traffic data sets with irregular behaviour. Analysing the data sets revealed multifractal network traffic. Typical data sets are given in this paper together with our preliminary analysis. The network architecture and traffic specifications that generated the multifractal traffic ar...

This paper presents feature extraction and estimation of multifractal measures of DNA sequences, using a multifractal methodology, and demonstrates a new scheme for identifying biological functionality, using information contained within the DNA sequences. It shows that the Rényi and Mandelbrot fractal dimension spectra may be useful techniques for extracting the information contained in the DN...