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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: sester@math.univ-mlv.fr)
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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

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