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I'm sure there are many tools from Matthieu's class which would come in useful.  Thoughts:  \underline{Question 1:} A first step is to solve the (coupled) diffusion equations of the medium and (mean field?). This gives coarse, deterministic behaviour. Then need a way into the statistics. Read Matthieu's notes.   Question 1: A first step is to solve the (coupled) diffusion equations of the medium and (mean field?). This gives coarse, deterministic behaviour. (Then need a way into the statistics.)  Can we use RG flow  (see e.g.  Bertin 2009, (2009),  Matthieu)? Make a very simple Hamiltonian which captures some of the features of the swimmer clusters, then group them together in an increasingly course way. What happens to critical exponents, to couplings, etc? Will this actually be useful (given the Hamiltonian is necessarily very crude)?