The 1/2--Complex Bruno function and the Yoccoz function. A numerical study of the Marmi--Moussa--Yoccoz Conjecture

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dc.creatorCarletti, Timoteo
dc.date2003-05-31
dc.date.accessioned2026-07-07T04:58:26Z
dc.date.available2026-07-07T04:58:26Z
dc.descriptionWe study the 1/2--Complex Bruno function and we produce an algorithm to evaluate it numerically, giving a characterization of the monoid $\hat{\mathcal{M}}=\mathcal{M}_T\cup \mathcal{M}_S$. We use this algorithm to test the Marmi--Moussa--Yoccoz Conjecture about the Hölder continuity of the function $z\mapsto -i\mathbf{B}(z)+ \log U(e^{2πi z})$ on $\{z\in \mathbb{C}: \Im z \geq 0 \}$, where $\mathbf{B}$ is the 1/2--complex Bruno function and $U$ is the Yoccoz function. We give a positive answer to an explicit question of S. Marmi et al [MMY2001].
dc.description21 pages, 11 figures, 2 tables
dc.identifierhttps://arxiv.org/abs/math/0306009
dc.identifierhttp://arxiv.org/abs/math/0306009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67637
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F50; 42B25; 65P40
dc.titleThe 1/2--Complex Bruno function and the Yoccoz function. A numerical study of the Marmi--Moussa--Yoccoz Conjecture
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