Near bounded-type irrationals α the size of a p/q-bubble scales as d^ξ(α) q^{-2} with ξ(α)>0 obtained from the unstable and top stable eigenvalues of the renormalization operator at rotation by α.
A note on the inclination Lemma ( λ-Lemma) and Feigen- baum’s rate of approach
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Renormalization and scaling of bubbles
Near bounded-type irrationals α the size of a p/q-bubble scales as d^ξ(α) q^{-2} with ξ(α)>0 obtained from the unstable and top stable eigenvalues of the renormalization operator at rotation by α.