most citedGhys-like models providing trick for a class of simple maps

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.DS2005★ 1 cited

Semi-continuity of Siegel disks under parabolic implosion

Arnaud Cheritat

We transfer the lower semi-continuity of Siegel disks with fixed Brjuno type rotation numbers to geometric limits. Here, we restrict to Lavaurs maps associated to quadratic polynom…

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…