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A model for boundary dynamics of Baker domains

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Bibliographic Details
Main Authors: Núria, Fagella, Anna, Jové
Format: Book
Language:English
Published: Springer 2023
Subjects:
unction f(z)=z+e−z
points in ∂U
Online Access:https://link.springer.com/article/10.1007/s00209-023-03245-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7618
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spelling oai:localhost:PNK-76182023-04-06T03:18:13Z A model for boundary dynamics of Baker domains Núria, Fagella Anna, Jové unction f(z)=z+e−z points in ∂U CC BY We consider the transcendental entire function f(z)=z+e−z, which has a doubly parabolic Baker domain U of degree two, i.e. an invariant stable component for which all iterates converge locally uniformly to infinity, and for which the hyperbolic distance between successive iterates converges to zero. It is known from general results that the dynamics on the boundary is ergodic and recurrent and that the set of points in ∂U whose orbit escapes to infinity has zero harmonic measure. 2023-04-06T03:18:13Z 2023-04-06T03:18:13Z 2023 Book https://link.springer.com/article/10.1007/s00209-023-03245-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7618 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic unction f(z)=z+e−z
points in ∂U
spellingShingle unction f(z)=z+e−z
points in ∂U
Núria, Fagella
Anna, Jové
A model for boundary dynamics of Baker domains
description CC BY
format Book
author Núria, Fagella
Anna, Jové
author_facet Núria, Fagella
Anna, Jové
author_sort Núria, Fagella
title A model for boundary dynamics of Baker domains
title_short A model for boundary dynamics of Baker domains
title_full A model for boundary dynamics of Baker domains
title_fullStr A model for boundary dynamics of Baker domains
title_full_unstemmed A model for boundary dynamics of Baker domains
title_sort model for boundary dynamics of baker domains
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00209-023-03245-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7618
_version_ 1762456092253618176
score 8.8894005

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