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

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

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 was asking about continous spins systems on discrete lattices, as for example XY and Heisenberg models.

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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.

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