Many driven threshold systems display a spectrum of avalanche event sizes, often characterized by power-law scaling. An important problem is to compute probabilities of the largest events ("Black Swans"). We develop a data-driven approach to the problem by transforming to the event index frame, and relating this to Shannon information. For earthquakes, we find the 12-month probability for magni...

In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as $beta$ tends to one. Finally, by using ac...

ABSTRACT First Person is a series of interviews with the first authors selection papers published in Journal Cell Science, helping early-career researchers promote themselves alongside their papers. Shannon McMahon author on ‘DNAJB chaperones suppress destabilised protein aggregation via region distinct from that used to inhibit amyloidogenesis’, JCS. PhD student lab Heath Ecroyd at Molecular H...

The diversity of cultivated crops is relevant on various spatial scales, from the field and farm to landscape. We apply a decomposition Shannon index that allows differentiation functional production. separates crop groups related diversity, which shows species within groups. Using population-based farm-level data Sweden 2001–2018, we are able study development overall (Shannon), among total 83...

William J. Tastle and et al. (Proc ISECON 2005, V22 (Columbus OH)) presented a new consensus measure for ranking sets of Likert scale data (ordinal data). In this paper we extend the consensus measure to the fuzzy sets. This measure called the strength of consensus is a modification of both the Shannon entropy, an equation common to the foundation of information theory, and the standard consens...

The widespread African clawed frog (Xenopus laevis) occurs in sympatry with the IUCN Endangered Cape platanna (Xenopus gilli) throughout its entire range in the south-western Cape, South Africa. In order to investigate aspects of the interspecific competition between populations of X. laevis and X. gilli, an assessment of their niche differentiation was conducted through a comprehensive study o...