4 citations · 19 across the 8 of their papers we have counts for
Showing 2003Show all
3 papers · 1 filter
math.DS2003★ 4 cited
Bifurcations of unimodal maps
Artur Avila, Carlos Gustavo Moreira
We review recent results that lead to a very precise understanding of the dynamics of typical unimodal maps from the statistical point of view. We also describe the (generalized) r…
math.DS2003
Phase-parameter relation and sharp statistical properties for general families of unimodal maps
Artur Avila, Carlos Gustavo Moreira
We obtain estimates relating the phase space and the parameter space of analytic families of unimodal maps. Using those estimates, we show that typical analytic unimodal maps admit…
math.DS2003★ 3 cited
Smooth Siegel disks via semicontinuity: a remark on a proof of Buff and Cheritat
Artur Avila
Recently, Xavier Buff and Arnaud Cheritat have provided an elegant proof of the existence of quadratic Siegel disks with smooth boundary. In this short note, we show how results of…