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Combinatorial configurations of fibered polynomials

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.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693719
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Submitted on : Wednesday, May 2, 2012 - 10:53:39 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

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  • HAL Id : hal-00693719, version 1

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O Sester. Combinatorial configurations of fibered polynomials. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2001, 21 (?), pp.915--955. ⟨hal-00693719⟩

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