W. Shen

most citedCombinatorial rigidity for unicritical polynomials

4 citations · 4 across the 2 of their papers we have counts for

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math.DS2008

Parapuzzle of the Multibrot set and typical dynamics of unimodal maps

Artur Avila, Mikhail Lyubich, Weixiao Shen

We study the parameter space of unicritical polynomials $f_{c} : z \mapsto z^{d} + c$ . For complex parameters, we prove that for Lebesgue almost every $c$ , the map $f_{c}$ is either hyperboli…

math.DS2005★ 4 cited

Combinatorial rigidity for unicritical polynomials

Artur Avila, Jeremy Kahn, Mikhail Lyubich +1

We prove that any unicritical polynomial $f_{c} : z \mapsto z^{d} + c$ which is at most finitely renormalizable and has only repelling periodic points is combinatorially rigid. It implies t…