About Rays, Dreadlocks and Periodic Points in Transcendental Dynamics

Autor: Anna Miriam Benini

Publikováno v: Bruno Pini Mathematical Analysis Seminar, Vol 8, Iss 1, Pp 153-167 (2017)

We study some aspects of the iteration of an entire map f over the complex plane ℂ. In many settings in complex dynamics one can define periodic curves (called dynamic rays) in the dynamical plane and study their relation with periodic points. The

Externí odkaz: https://doaj.org/article/71208e4d28fb47cc87f379766959eb14

Entropy of transcendental entire functions

Autor: John Erik Fornæss, Han Peters, Anna Miriam Benini

Publikováno v: Ergodic Theory and Dynamical Systems
Ergodic theory and dynamical systems, 41(2), 338-348. Cambridge University Press

We prove that all entire transcendental entire functions have infinite topological entropy.
Comment: 13 pages

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1d6bef89960f4332212adb6c185ec28
https://hdl.handle.net/11245.1/a6f672dc-3e8e-4030-91ab-f6ef462ced3e

Classifying simply connected wandering domains

Autor: Anna Miriam Benini, Gwyneth M. Stallard, Núria Fagella, Philip J. Rippon, Vasiliki Evdoridou

While the dynamics of transcendental entire functions in periodic Fatou components and in multiply connected wandering domains are well understood, the dynamics in simply connected wandering domains have so far eluded classification. We give a detail

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43de923cb08a9b826944ef23ed14ce43
https://ddd.uab.cat/record/267133

A separation theorem for entire transcendental maps

Autor: Núria Fagella, Anna Miriam Benini

Publikováno v: Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Recercat. Dipósit de la Recerca de Catalunya
instname
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Dipòsit Digital de la UB
Universidad de Barcelona
Proceedings of the London Mathematical Society

Agraïments: Anna Miriam Benini was partially supported by the ERC grant HEVO - Holomorphic Evolution Equations n. 277691. Both authors were supported by the European network MRTN-CT-2006-035651-2-CODY MRTN-CT-2006-035651-2-CODY We study the distribu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2aefb160d9fcdaa4ec8cac467736c90
http://hdl.handle.net/2072/408887

Dynamics of transcendental Hénon maps

Autor: Han Peters, Anna Miriam Benini, John Erik Fornæss, Leandro Arosio

Publikováno v: Mathematische Annalen

The dynamics of transcendental functions in the complex plane has received a significant amount of attention. In particular much is known about the description of Fatou components. Besides the types of periodic Fatou components that can occur for pol

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c2e586167d1f997ed678d6eb046e6f7
https://doi.org/10.1007/s00208-018-1643-6