A. Avila

activity

20002005

most citedExamples of Feigenbaum Julia sets with small Hausdorff dimension

4 citations · 19 across the 8 of their papers we have counts for

collaborators

Showing 2005Show all

2 papers · 1 filter

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…

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 $S^{1}$ : $ T:S^{1}\times \R\to S^1\times \R…