# Problem 20

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Continuous systems in statistical mechanics. Is there a topological dynamics formulation?

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### Does "continuous" refer to

Does "continuous" refer to continuous actions, as in a system of particles in $\mathbb{R}^d$?

### I think so.  The main

I think so.  The main topological dynamics formulations that Rufus was familiar with were probably things like Ising model in discrete space (Z^d).

### It is also possible that he

It is also possible that he was asking about continous spins systems on discrete lattices, as for example XY and Heisenberg models.