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More on Princeton Companion to Mathematics aka ‘PCM’.
Quite a few of the single Companion chapters are available from the authors’ own web sites… I gave links to Terry Tao and Tim Gowers blogs below.
Gordon Slade wrote the chapter ‘Probabalistic Models in Critical Phenomena‘
Its a nice overview of whats been happening in this area, with sections about Critical Phenomena, Branching Processes, Random Graphs, Percolation, Ising Model, Random Cluster model and also introduces SLE the Stochastic-Loewner-Evolution work by Oded Schramm, Wendelin Werner etc.
If you’ve never heard of this stuff heres a motivator of sorts, by yours truly –