4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.DS2005
Renormalization in the Henon family, I: universality but non-rigidity
A. de Carvalho, M. Lyubich, M. Martens
In this paper geometric properties of infinitely renormalizable real Hénon-like maps in are studied. It is shown that the appropriately defined renormalizations …
math.DS2005★ 4 cited
Combinatorial rigidity for unicritical polynomials
Artur Avila, Jeremy Kahn, Mikhail Lyubich +1
We prove that any unicritical polynomial which is at most finitely renormalizable and has only repelling periodic points is combinatorially rigid. It implies t…
math.DS2005★ 3 cited
Local connectivity of Julia sets for unicritical polynomials
Jeremy Kahn, Mikhail Lyubich
We prove that the Julia set of at most finitely renormalizable unicritical polynomial with all periodic points repelling is locally connected. (For …