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Newton maps as matings of cubic polynomials

Aspenberg, Magnus LU and Roesch, Pascale (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.

Please use this url to cite or link to this publication:
author
organization
publishing date
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
2017-09-18 11:34:33
@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},
  volume       = {113},
  year         = {2016},
}