Some aspects of the mechanical analogy recently proposed for the static and dynamic renormalisation group (RG) in the large-n limit are pointed out. In particular, starting from purely mechanical methods, a maximal set of the static RG invariants is obtained. Similar results also hold in the most complex dynamical case. Finally, by means of a canonical transformation, the original statistical mechanics problem is reduced to an equivalent anisotropic hyperbolic oscillator under stabilising conditions.

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