| Naslov: | Wandering domains arising from Lavaurs maps with Siegel disks |
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| Avtorji: | ID Astorg, Matthieu (Avtor)
ID Boc Thaler, Luka (Avtor)
ID Peters, Han (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (1,55 MB)
MD5: 704856943F87393378C225F327943A8C
 URL - Izvorni URL, za dostop obiščite https://msp.org/apde/2023/16-1/p02.xhtml
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | 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 point. We prove a general necessary and sufficient condition for the existence of a trapping domain for nonautonomous compositions of maps converging parabolically towards a Siegel-type limit map. Constructing a skew-product satisfying this condition requires precise estimates on the convergence to the Lavaurs map, which we obtain by a new approach. We also give a self-contained construction of parabolic curves, which are integral to this new method. |
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| Ključne besede: | Fatou sets, holomorphic dynamics, parabolic implosion, polynomial mappings, skew-products, wandering Fatou components, parabolic curves, nonautonomous dynamics |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.01.2023 |
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| Leto izida: | 2023 |
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| Št. strani: | str. 35-88 |
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| Številčenje: | Vol. 16, no. 1 |
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| PID: | 20.500.12556/DiRROS-18640  |
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| UDK: | 517.53 |
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| ISSN pri članku: | 2157-5045 |
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| DOI: | 10.2140/apde.2023.16.35 |
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| COBISS.SI-ID: | 150202115 |
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| Datum objave v DiRROS: | 09.04.2024 |
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| Število ogledov: | 1485 |
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| Število prenosov: | 503 |
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| Metapodatki: |    |
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