Newton maps as matings of cubic polynomials
(2016) In Proceedings of the London Mathematical Society 113(1). p.77-112- Abstract
In this paper, we prove existence and uniqueness of matings of a large class of renormalizable cubic polynomials with one fixed critical point and the other cubic polynomial having two fixed critical points. The resulting mating is a Newton map. Our result is the first part toward a conjecture by L. Tan, stating that all (cubic) Newton maps can be described as matings or captures.
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https://lup.lub.lu.se/record/e7b2361e-a971-415f-981b-029dfe7b850b
- author
- Aspenberg, Magnus LU and Roesch, Pascale
- organization
- publishing date
- 2016
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Proceedings of the London Mathematical Society
- volume
- 113
- issue
- 1
- pages
- 36 pages
- publisher
- LONDON MATH SOC, BURLINGTON HOUSE PICCADILLY, LONDON, ENGLAND W1V 0NL
- external identifiers
-
- scopus:84981312257
- wos:000383280200003
- ISSN
- 0024-6115
- DOI
- 10.1112/plms/pdw021
- language
- English
- LU publication?
- yes
- id
- e7b2361e-a971-415f-981b-029dfe7b850b
- date added to LUP
- 2017-02-22 14:59:37
- date last changed
- 2024-08-04 16:18:21
@article{e7b2361e-a971-415f-981b-029dfe7b850b, abstract = {{<p>In this paper, we prove existence and uniqueness of matings of a large class of renormalizable cubic polynomials with one fixed critical point and the other cubic polynomial having two fixed critical points. The resulting mating is a Newton map. Our result is the first part toward a conjecture by L. Tan, stating that all (cubic) Newton maps can be described as matings or captures.</p>}}, author = {{Aspenberg, Magnus and Roesch, Pascale}}, issn = {{0024-6115}}, language = {{eng}}, number = {{1}}, pages = {{77--112}}, publisher = {{LONDON MATH SOC, BURLINGTON HOUSE PICCADILLY, LONDON, ENGLAND W1V 0NL}}, series = {{Proceedings of the London Mathematical Society}}, title = {{Newton maps as matings of cubic polynomials}}, url = {{http://dx.doi.org/10.1112/plms/pdw021}}, doi = {{10.1112/plms/pdw021}}, volume = {{113}}, year = {{2016}}, }