Algebraic Entropy of Birational Maps with Invariant Curves |
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| Authors: | Bellon M. P. |
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| Affiliation: | (1) Laboratoire de Physique Théorique et Hautes Energies, Unité Mixte de Recherche 7589, CNRS et, Universités Paris VI et Paris VII, France |
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| Abstract: | The relevance of the algebraic entropy in the study of birational discrete time dynamical systems highlights the need to relate it to other characteristics of these systems. In this Letter, two complementary proofs are given that the foliation of the space by invariant curves implies that the algebraic entropy is zero. |
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| Keywords: | dynamical systems discrete time algebraic entropy integrability |
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