Rigidity for real polynomials

By Oleg Kozlovski, W. Shen, S. Strien. 2007

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Combinatorial rigidity for unicritical polynomials (2005, result): “Rigidity Theorem has been recently proved in [ KSS ].”
Local connectivity and quasi‐conformal rigidity of non‐renormalizable polynomials (2006, methodology): “Note that since we assume here the conclusion rather than the assumption of the Key Lemma from [7], the proof simplifies in a few places (for example in Lemma 6.”
Proof of the Branner-Hubbard conjecture on Cantor Julia sets (2006, methodology): “The following lemma is a slight modification of Lemma 8.2 in [ 20 ], and the proof is very much the same.”
Rigidity of escaping dynamics for transcendental entire functions (2006, result): “S]. In [RvS2], our results are used, together with work of Kozlovski, Shen and van Strien [ KSS1 , KSS2] to establish density of hyperbolicity in certain families of real transcendental entire functions (including the real cosine family asin(z) + bcos(z), a, b ∈ R).”