A family of diversity indices and evenness and its corresponding evenness, proposed here for the first time, show promise in ecology and indicate that the indices H, D, S, S q* , E and E q* are only part of a whole set of possibilities.Expand

The results corroborate and elucidate the parallel between the seismic laws and fracture experiments caused by a more complex loading condition that also occurs in natural and induced seismicity (such as long-term fluid injection and gas-rock outbursts in mining processes).Expand

It is argued that the distribution of cities for all ranges of populations can be well described by using a q-exponential distribution, which reproduces the Zipf-Mandelbrot law and satisfies an anomalous decay equation.Expand

By analyzing available catalogs on violent events in Iraq, Afghanistan, Northern Ireland and Northern Ireland, it is shown that the inter-event time distributions obeys approximately a simple scaling law which holds for more than three orders of magnitude.Expand

In the non-extensive Tsallis scenario, Page's conjecture for the average entropy of a subsystem [Phys. Rev. Lett. 71, 1291 (1993)] as well as its demonstration are generalized, i.e., when a pure… Expand