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math.DS2026
Rigidity of the attractor of neutral renormalization
Dzmitry Dudko, Willie Rush Lim, Mikhail Lyubich
We prove combinatorial rigidity for the full renormalization attractor of neutral quadratic polynomials. More precisely, any two bi-infinite renormalization towers with the same co…
math.DS2026
Uniform bounds for bubbles of neutral quadratic polynomials
Dzmitry Dudko, Willie Rush Lim
Given a quadratic polynomial with an irrationally indifferent fixed point of bounded type, a bubble is an iterated preimage of its Siegel disk. Similar to pseudo-Siegel disks, one…