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1 paper

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…