Statistical mechanics is that branch of mathematical physics which seeks to explain how macroscopic behaviour can emerge from the interactions between a large number of microscopic particles; in short, to explain how and why the sum is greater than its parts. This project is particularly focussed on understanding how phenomena such as phase transitions emerge in large but finite systems of interacting agents/particles.
Phase Transitions in Statistical Mechanics
On the Coupling Time of the Heat-Bath Process for the Fortuin–Kasteleyn Random–Cluster Model. Journal of Statistical Physics. 170(1), 22-61. doi: 10.1007/s10955-017-1912-x (2018).
Random-Length Random Walks and Finite-Size Scaling in High Dimensions. Physical Review Letters. 121(18), 185701. doi: 10.1103/PhysRevLett.121.185701 (2018).