18 citations · 48 across the 13 of their papers we have counts for
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math.DS2006★ 6 cited
Quadratic Julia Sets with Positive Area
Xavier Buff, Arnaud Cheritat
We prove the existence of quadratic polynomials having a Julia set with positive Lebesgue measure in three cases: the presence of a Cremer fixed point, the presence of a Siegel dis…
math.DS2006
A new proof of a conjecture of Yoccoz, Remarks, New results
Xavier Buff, Arnaud Cheritat
We give a new proof of the following conjecture of Yoccoz: the sum of the logarithm of the conformal radius of fixed Siegel disks of monic quadratic polynomials and of the Brjuno f…