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27. Sep 2022

Structural stability in complex dynamics

Datum: 27. September 2022 | 10:00 – 11:00
Sprecher: Núria Fagella, Universitat de Barcelona and Centre de Recerca Matemàtica (CRM)
Veranstaltungsort: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Sprache: Englisch

We discuss the concept of structural stability in holomorphic families of meromorphic maps, in the spirit of the celebrated theorem of Ma-Sad-Sullivan and Lyubich in the 1980s for rational maps. We show that, for functions with an essential singularity at infinity, a new type of bifurcation occurs which consists of periodic points disappearing to infinity. Nevertheless, under some finiteness conditions, we show that J-structurally stable maps are open and dense in the appropriate parameter space (of arbitrary dimension).
(Joint work with Matthieu Astorg and Anna Miriam Benini)

Weitere Informationen:

Datum:
27. September 2022
10:00 – 11:00

Sprecher:
Núria Fagella, Universitat de Barcelona and Centre de Recerca Matemàtica (CRM)

Veranstaltungsort:
Heinzel Seminar Room / Office Bldg West (I21.EG.101)

Sprache:
Englisch

Ansprechpartner:

DE ANTONI Jessica

Email:
jdeanton@ist.ac.at

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