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The Brjuno function continuously estimates the size of quadratic Siegel disks

Xavier Buff, Arnaud Chéritat

Annals of Mathematics · 2006 · 37 citations · 4 references

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Abstract

If is an irrational number, Yoccoz defined the Brjuno function by

References

4

The Brjuno Functions and Their Regularity Properties

Stefano Marmi, Pierre Moussa, Jean-Christophe Yoccoz · Communications in Mathematical Physics · 1997 · 127 citations

, , +5

Critical functions for complex analytic maps

Stefano Marmi · Journal of Physics A Mathematical and General · 1990 · 49 citations

, , +13

Upper bound for the size of quadratic Siegel disks

Xavier Buff, Arnaud Ch�ritat · Inventiones mathematicae · 2004 · 32 citations

, , +6

Extensions of holomorphic motions

Sudeb Mitra · Israel Journal of Mathematics · 2007 · 12 citations

, , +9