Here’s an update on not one, not two, not three, but four papers!
First, the paper on stochastic block model for directed acyclic graphs, co-authored with Marco Battiston, is finally published on JCGS. Ideas went back all the way to presentations in 2019, 2020, and 2021, so it has been a long time coming. Thank you to Marco for pushing me to finish this as I have been slacking off on this for years.
The second paper is the joint work with my PhD student Thomas Boughen and the joint superviser Vianey Ramirez on tail realistic preferential attachment & limiting degree distributions, which has been updated on arXiv and submitted recently. The highlight of the updated results is that we have established a direct relationship between the form of the preference function $b(k)$ and the tail behaviour of the asymptotic degree distribution.
The third paper is the joint work led by Thitiya Theparod (a friend from PhD times) on mathematical modelling the Mpox epidemics among GBMSM in the presence of limited vaccine supply. The preprint is here.
The last one is a bold attempt and the finished product of the presentation on “evidencing preferential attachment in dependency network evolution” I gave at Sunbelt conference this year, which I previously blogged about. Some results were updated because of some small errors in the derivations, but the overall picture stays the same. The preprint is on arXiv. One immediate next step is to incorporate node fitness to determine the intrinsic value of each package after accounting for the preferential attachment.