Co-authors: Stephane Benoist (Columbia Univ.), Laure Dumaz (Univ. of Cambridge)
We present a rather simple setup in which one can formulate some renormalization group ideas, conjectures as well as some results in a concrete manner: For FK-type random cluster models, one relates the scaling limit of a (slight perturbation of the) critical model in terms of a stationary measure of a Markov process acting on a space of weighted graphs. This setup is not restricted to two dimensions (but one expects to be able to prove results only in 2d at this point).
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