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Št. zadetkov: 2
Dynamics of skew-products tangent to the identity
Matthieu Astorg, Luka Boc Thaler
Izvirni znanstveni članek
Oznake: skew-products;germs tangent to identity;parabolic implosion;wandering domains;
We study the local dynamics of generic skew-products tangent to the identity, i.e. maps of the form ▫$P(z,w)=(p(z), q(z,w))$▫ with ▫$dP_0=\mathrm{Id}$▫. More precisely, we focus on maps with non-degenerate second differential at the origin; such maps have local normal form ▫$P(z,w)=(z-z^2+O(z^3),w+w ...
Leto: 2026 Vir: Repozitorij Univerze v Ljubljani (RUL)
Wandering domains arising from Lavaurs maps with Siegel disks
Matthieu Astorg, Luka Boc Thaler, Han Peters
Izvirni znanstveni članek
Oznake: Fatoujeve množice;holomorfna dinamika;parabolična implozija;polinomske preslikave;poševni produkti;blodeče Fatoujeve komponente;parabolične krivulje;neavtonomna dinamika;Fatou sets;holomorphic dynamics;parabolic implosion;polynomial mappings;skew-products;wandering Fatou components;parabolic curves;nonautonomous dynamics;
The first example of polynomial maps with wandering domains was constructed in 2016 by the first and last authors, together with Buff, Dujardin and Raissy. In this paper, we construct a second example with different dynamics, using a Lavaurs map with a Siegel disk instead of an attracting fixed poin ...
Leto: 2023 Vir: Repozitorij Univerze v Ljubljani (RUL)
Št. zadetkov: 2
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