English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The index of success of the researchers is now mostly measured using theHirsch index ($h$). Our recent precise demonstration, that statistically $h\sim \sqrt {N_c} \sim \sqrt {N_p}$, where $N_p$ and $N_c$ denote respectivelythe total number of publications and total citations for the researcher,suggests that average number of citations per paper ($N_c/N_p$), and hence $h$,are statistical numbers (Dunbar numbers) depending on the community or networkto which the researcher belongs. We show here, extending our earlierobservations, that the indications of success are not reflected by the totalcitations $N_c$, rather by the inequalities among citations from publicationsto publications. Specifically, we show that for very successful authors, theyearly variations in the Gini index ($g$, giving the average inequality ofcitations for the publications) and the Kolkata index ($k$, giving the fractionof total citations received by the top $1 - k$ fraction of publications; $k =0.80$ corresponds to Pareto's 80/20 law) approach each other to $g = k \simeq0.82$, signaling a precursor for the arrival of (or departure from) theSelf-Organized Critical (SOC) state of his/her publication statistics.Analyzing the citation statistics (from Google Scholar) of thirty successfulscientists throughout their recorded publication history, we find that the $g$and $k$ for very successful among them (mostly Nobel Laureates, highest rankStanford Cite-Scorers, and a few others) reach and hover just above (and then)below that $g = k \simeq 0.82$ mark, while for others they remain below thatmark. We also find that all the lower (than the SOC mark 0.82) values of $k$and $g$ fit a linear relationship $k = 1/2 + cg$, with $c = 0.39$.

Do Successful Researchers Reach the Self-Organized Critical Point?