We present a stochastic model of gait rhythm dynamics, based on transitions between different “neural centers”, that reproduces distinctive statistical properties of normal human walking. By tuning one model parameter, the transition (hopping) range, the model can describe alterations in...

We predict a multifractal behavior of transport in the deep quantum regime for the opened δ-kicked rotor model. Our analysis focuses on intermediate and large scale correlations in the transport signal and generalizes previously found parametric mono-fractal fluctuations in the quantum survival...

State-of-the-art airborne lidar data of passive scalars have shown that the spatial stratification of the atmosphere is scaling: the vertical extent (Δz) of structures is typically ≈ΔxHz where Δx is the horizontal extent and Hz is a stratification exponent. Assuming horizontal isotropy, the...

In the framework of Multifractal Diffusion Entropy Analysis we propose a method for choosing an optimal bin-width in histograms generated from underlying probability distributions of interest. The method presented uses techniques of Rényi’s entropy and the mean squared error analysis to...

It is shown that the allowed frequencies of optical phonon modes propagating in quasiperiodic AlN–GaN structures display a multifractal behavior. This feature is confirmed through a scaling-exponent analysis of a parametric spectrum of singularities f(α). This is done by using an alternative...

The role of competition and frustration on the multifractal properties of the local magnetization of aperiodic Ising models defined on hierarchical lattices is analyzed. Competing ferro-antiferromagnetic interactions are introduced by a deterministic two-letter aperiodic sequence, while...

The blasting of brittle materials with sharp particles is an important fabrication technology in many industrial processes. In particular, for microsystems, it allows the production of devices with feature sizes down to few tens of microns. An important parameter of this process is the surface...

We consider the regularity of sample paths of Volterra–Lévy processes. These processes are defined as stochastic integrals M(t)=∫0tF(t,r)dX(r),t∈R+, where X is a Lévy process and F is a deterministic real-valued function. We derive the spectrum of singularities and a result on the...

The financial crisis has fueled interest in alternatives to traditional asset classes that might be less affected by large market gyrations and, thus, provide for a less volatile development of a portfolio. One attempt at selecting stocks that are less prone to extreme risks, is obeyance of...

In the past five to ten years mounting evidence has arisen indicating that the large-scale spatial number density of galaxies may be governed by fractal or multifractal statistics. In this paper we extend this idea by searching for multifractal behaviour in other density fields. Namely,...