Ahlfors-Bers 2014 "Conformal invariance and critical behavior within critical fractal carpets"

Wendelin Werner (ETH Zürich): Some aspects of conformal invariance can survive within fractal carpets in the plane. In the present talk, I will survey how it is possible to make sense in a rather precise way of certain of these ideas in the special case of certain random -- yet very natural -- carpets, often referred too as conformal loop ensembles. In particular, after briefly introducing these random fractals, we shall describe the analog of a local Schramm-Loewner Evolution curve within this carpets

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