A parameter to quantify dynamics of a researcher's scientific activity

TL;DR

This paper introduces the coefficient $t_h$ and its modification $N_t$ to quantify the dynamics of a researcher's scientific activity by measuring the time span and citation impact of their most influential publications.

Contribution

It proposes new parameters, $t_h$ and $N_t$, that provide a simple way to reflect the evolution and impact of a researcher's scientific output.

Findings

$t_h$ effectively captures the time span of influential publications.

$N_t$ reflects the average citation impact over the period.

The parameters offer a new quantitative tool for analyzing scientific activity.

Abstract

I propose the coefficient, $t_h$, and its modification $N_t$ which in a simple way reflect dynamics of scientific activity of an individual researcher. I determine $t_h$ as a time period (from some moment in the past till the present moment) during which papers responsible for 1/2 of the total citation index were published. Parameter $N_t$ represents average of the citation index over this period: $N_t={\mathrm{C.I.}}/2t_h$.