98 citations
- Psychiatric Medicine AssociatesUS7 papers
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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
Smoothness of solenoidal attractors
Artur Avila, Sebastien Gouezel, Masato Tsujii
We consider dynamical systems generated by skew products of affine contractions on the real line over angle-multiplying maps on the circle : $ T:S^{1}\times \R\to S^1\times \R…
math.DS2005
Constructions in elliptic dynamics
Bassam Fayad, Anatole Katok
We present an overview and some new applications of the approximation by conjugation method introduced by Anosov and the second author more than thirty years ago \cite{AK}. Michel…