| Naslov: | Wandering domains arising from Lavaurs maps with Siegel disks |
|---|
| Avtorji: | ID Astorg, Matthieu (Avtor)
ID Boc Thaler, Luka (Avtor)
ID Peters, Han (Avtor) |
|---|
| 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
|
|---|
| Jezik: | Angleški jezik |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
|
|---|
| 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. |
|---|
| Ključne besede: | Fatou sets, holomorphic dynamics, parabolic implosion, polynomial mappings, skew-products, wandering Fatou components, parabolic curves, nonautonomous dynamics |
|---|
| Status publikacije: | Objavljeno |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Datum objave: | 01.01.2023 |
|---|
| Leto izida: | 2023 |
|---|
| Št. strani: | str. 35-88 |
|---|
| Številčenje: | Vol. 16, no. 1 |
|---|
| PID: | 20.500.12556/DiRROS-18640  |
|---|
| UDK: | 517.53 |
|---|
| ISSN pri članku: | 2157-5045 |
|---|
| DOI: | 10.2140/apde.2023.16.35 |
|---|
| COBISS.SI-ID: | 150202115 |
|---|
| Datum objave v DiRROS: | 09.04.2024 |
|---|
| Število ogledov: | 68 |
|---|
| Število prenosov: | 34 |
|---|
| Metapodatki: |     |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
