Frequency-magnitude statistics for natural hazards can greatly help in probabilistic hazard assessments. An example is the case of earthquakes, where the generality of a power-law (fractal) frequency-rupture area correlation is a major feature in seismic risk mapping. Other examples of this power-law frequency-size behaviour are landslides and wildfires. In previous studies, authors have made t...

We studied the effects of non-Markovian power-law voltage dependent conductances on the generation of action potentials and spiking patterns in a Hodgkin-Huxley model. To implement slow-adapting power-law dynamics of the gating variables of the potassium, n, and sodium, m and h, conductances we used fractional derivatives of order η≤1. The fractional derivatives were used to solve the kinetic e...

In the present study wind power density of the Penjwen region have been statistically analyzed during the period from January 2001 to December 2003 based on the monthly measured mean wind speed data. The annual and monthly wind speeds and wind density are estimated. The Weibull and Ralyeigh distribution functions have been derived from the available data and both Weibull and Rayleigh probabilit...

The purpose of this article is to explain the reasons for adopting, in Italy, the principle of mandatory criminal prosecution. This rule is closely connected to the role and functions of Italian public prosecutors. The supreme guarantee deriving from the rule governing the mandatory status of criminal prosecution is to safeguard the equal treatment of all citizens before criminal law. This is p...

Whether Fitts’ law, a well-known model of human pointing movement, is a logarithmic law or a power law has remained unclear so far. In two widely cited papers, Meyer et al. have claimed that the power model they derived from their celebrated stochastic optimized-submovement theory encompasses the logarithmic model as a limiting case. We show that Meyer et al.’s theory implies in fact a quasi-lo...

In the present article, buckling analysis of functionally graded annular thin and moderately thick plates under mechanical and thermal loads is investigated. The equilibrium and stability equations of the plate are obtained based on both classical and first order shear deformation plate theories. By using an analytical method, the coupled stability equations are converted to independent equatio...

Monterey Mirror is an interactive stochastic music generator based on Markov models, genetic algorithms, and power-law metrics for music information retrieval. It combines the predictive power of Markov models with the innovative power of genetic algorithms, using power-law metrics for fitness evaluation. These metrics have been developed and refined in a decade-long project, which explores mus...

Large graphs abound around us – online social networks, Web graphs, the Internet, citation networks, protein interaction networks, telephone call graphs, peer-to-peer overlay networks, electric power grid networks, etc. Many reallife graphs are power-law graphs. A fundamental challenge in today’s Big Data world is storage and processing of these large-scale power-law graphs. In this thesis, we ...

BACKGROUND Despite the common experience that interrupted sleep has a negative impact on waking function, the features of human sleep-wake architecture that best distinguish sleep continuity versus fragmentation remain elusive. In this regard, there is growing interest in characterizing sleep architecture using models of the temporal dynamics of sleep-wake stage transitions. In humans and other...

We present a simple explanation for the occurrence of power-law tails in statistical distributions by showing that if stochastic processes with exponential growth in expectation are killed (or observed) randomly, the distribution of the killed or observed state exhibits power-law behavior in one or both tails. This simple mechanism can explain power-law tails in the distributions of the sizes o...