Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

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
and
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
  • wos:000383280200003
  • scopus:84981312257
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
2024-07-07 12:44:41
@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}},
}