Undergraduate Honors Theses

Thesis Defended

Spring 2019

Document Type


Type of Thesis

Departmental Honors


Applied Mathematics

First Advisor

Manuel E. Lladser


The h-index, or Hirsch index, is a bibliometric index intended to measure the impact of a researcher’s scholarly output. It is defined as the largest k such that an author has k papers with k or more citations each. Motivated by our desire to understand anomalous researchers, we aim to characterize the asymptotic probability distribution of the h-index for a researcher with m papers in a random citation network of n papers described by Price’s preferential attachment model. Furthermore, we analyze our results implementing both synthetic and real citation networks.