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Arithmetic Geometric Model for the Renormalisation of Bi-critical Irrationally Indifferent Attractors

Russell, Jocelyn Finbar
arXiv (All) · Papers
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dynamical-systems
In this paper we build a geometric model for the renormalisation of irrationally indifferent fixed points of holomorphic maps with two critical points. The model incorporates arithmetic properties of the rotation number at the fixed point, as well as the "angle" between the two critical points. Usin
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