Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T04:46:10.187Z Has data issue: false hasContentIssue false
  • English
  • Français

Combinatorial configurations of fibered polynomials

Published online by Cambridge University Press:  04 June 2001

OLIVIER SESTER
OLIVIER SESTER
Affiliation:
Equipe d'Analyse et de Mathématiques Appliquées, Université de Marne-la-Vallée, 5 boulevard Descartes, Champs sur Marne, F-77454 Marne-la-Vallée Cedex 2, France (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We study from a combinatorial point of view quadratic fibered polynomials. The main object of this paper is the construction of a combinatorial model of a subset of the parameter space. This set (the configuration space) is proved to be a Hausdorff compact and connected space. Then, we prove that an abstract configuration which is non-recurrent can be uniquely realized by a quadratic fibered polynomial.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 3 , June 2001 , pp. 915 - 955
Copyright
2001 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)