6 citations · 10 across the 6 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…
math.DS2006
Virtual Immediate Basins of Newton Maps and Asymptotic Values
Xavier Buff, Johannes Rueckert
Newton's root finding method applied to a (transcendental) entire function f:C->C is the iteration of a meromorphic function N. It is well known that if for some starting value z,…