Speaker: Biró Tamás Sándor
Title: Gini index, gintropy, and Hirsch-index
Place: Building 1, Meeting Room (1st floor)
Meeting ID: 817 4051 3723
Entropy is a fundamental thermodynamical and statistical physics concept, at the same time also a mathematical construct. In this lecture I present a more elementary concept tagged "gintropy", which is based on inequality properties of probability distribution functions. The Gini index as well as the entropy, used in economy and econophysics since long can be expressed by a new quantity, gintropy, defined on the Lorenz map. Whether the Gini index and the enrtopy is always co-growing, is still an unanswered question. Yet, gintropy appears as a common point in computing both. On the top of this an analysis of scientometric factors, h-index, publication and citation numbers are analyzed and scaling properties are revealed based on google scholar data. Gintropy maximum offers a limit for the h-index when the citations are distributed according to the Tsallis-Pareto power-law tailed distribution.