Wow, this looks amazing. There has been a lot of development in this area recently, but without expertise in various areas (functional analysis, statistical phy

Wow, this looks amazing. There has been a lot of development in this area recently, but without expertise in various areas (functional analysis, statistical physics, manifold theory), reading the papers themselves is difficult if not impossible. I'm glad someone is taking the time to summarize and integrate the results of these various approaches.