A new proof of a conjecture of Yoccoz
Xavier Buff, Arnaud Chéritat (2011)
Annales de l’institut Fourier
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We give a new proof of the following conjecture of Yoccoz: where , is its Siegel disk if is linearizable (or otherwise), is the conformal radius of the Siegel disk of (or if there is none) and is Yoccoz’s Brjuno function. In a former article we obtained a first proof based on the control of parabolic explosion. Here, we present a more elementary proof based on Yoccoz’s initial methods. We then extend this result to some...