The aim of this study was to investigate the effects of a linear filter on the regularity of a given stochastic process in terms of the fractal dimension. This general approach, described in a continuous time domain, is new and is characterized by its simplicity. The framework of this problem is general since it emerges when a fractal process undertakes a transformation, as is the case in denoi...

| The well known drawback of fractal image coding is its heavy computation complexity. In this paper, we show however that only a very small portion of this complexity is needed to encode the contours and the smooth areas of the objects of a certain minimum size. This is simply achieved by a local search of the matching domain blocks without isometry. Therefore, instead of forcing the fractal c...

A fractal landscape realizer has been developed that generates synthetic landscape maps to user specifications. The alternative landscape realizations are not identical to the actual maps after which they are patterned, but are similar statistically (i.e., the areas and fractal character of each category are replicated). A fractal or self-affine pattern generator is used to provide a spatial pr...

Asymptotic scaling behavior, characteristic of the inertial range, is obtained for a fractal stochastic system proposed as a model for turbulent transport.

Traffic flow has traditionally been viewed either as a stochastic process, or as a kinematic fluid. In the case of the former usually only the equilibria and mean results have been of interest. In the latter situation traffic has been viewed as having a continuous differentiable density (perhaps with occasional shocks). Neither of these properly address the nature of traffic if the inherent tra...

Although there is increasing evidence of criticality in the brain, the processes that guide neuronal networks to reach or maintain criticality remain unclear. The present research examines the role of neuronal gain plasticity in time-series of simulated neuronal networks composed of integrate-and-fire stochastic spiking neurons, and the utility of fractal methods in assessing network criticalit...