Very happy that a very cool paper led by two former UG students of the lab – Gokul Nair and Athmanathan – is now published!
Gokul Nair, Athmanathan Senthilnathan, Srikanth Iyer, and Vishwesha Guttal, 2019, Fission-fusion dynamics and group-size dependent composition in heterogeneous populations, Physical Review E, 99, 032412, arXiv:1711.06882 [nlin.AO], Data and codes, Download PDF.
This is the first analytical model of fission-fusion dynamics in heterogeneous systems. Previous studies had looked at only homogeneous populations. We make interesting predictions: smaller groups are likely to be homogeneous while larger groups will be heterogeneous.
I really enjoyed working with these students and also with Prof Srikanth Iyer, who is a professor of Mathematics at IISc. My collaboration with Srikanth started with this project when we jointly advised Athmanathan, a UG student majoring in Math at IISc, for his UG project (Sept 2014- May 2015). While Athma formulated the model and got preliminary results, Gokul Nair (a UG physics Major from IISc) carried this on during his free-time, resolved many tricky mathematical issues, did more simulations and finally wrote the paper.
Although the paper is quite mathematical (perhaps most mathematical of all my papers so far), many sections are written in a way that is accessible to nonspecialists (you can easily skip mathsy parts without losing the essence – that was the attempt of our writing). I hope you will read and enjoy it!