3 citations · 7 across the 6 of their papers we have counts for
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math.DS2004★ 2 cited
Ghys-like models providing trick for a class of simple maps
Arnaud Cheritat
For quadratic polynomials with an indifferent fixed point with bounded type rotation number (they have a Siegel disk), much of what is known of their Julia set comes from the study…
math.DS2004
The measure of quadratic Julia-Lavaurs sets with a bounded type virtual Siegel disk is zero
Arnaud Cheritat
We prove here one of the claims of the author's thesis.
math.DS2004
The Brjuno function continuously estimates the size of quadratic Siegel disks
Xavier Buff, Arnaud Cheritat
If alpha is an irrational number, we define Yoccoz's Brjuno function Phi by Phi(alpha)=sum_{n geq 0} alpha_0*alpha_1*...*alpha_{n-1}*log(1/alpha_n), where alpha_0 is the fractional…