The UT Austin | Portugal CoLab Program in Applied Mathematics has been running for 10 years now. It has been remarkably successful in promoting research collaboration and providing mobility opportunities for faculty members, as well as in hosting doctoral and post-doctoral students, especially in the field of applied PDEs.
The goal of the mini-course by Joe Chen is to describe the recent progress on establishing scaling limits of many-particle systems on state spaces which are bounded in the resistance metric, a.k.a. "resistance spaces." These include trees, fractals, and random graphs arising from critical percolation.