Algebraic Entropy of Birational Maps with Invariant Curves

Algebraic Entropy of Birational Maps with Invariant Curves
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具有不变曲线的双有理映射的代数熵

DOI:
10.1023/a:1007634406786
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发表时间:
1999
影响因子:
1.2
通讯作者:
M. Bellon
M. Bellon
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
M. Bellon

文献摘要

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双有理离散时间动力系统的研究中的代数熵的相关性突出了需要将其与这些系统的其他特性。在这封信中,两个互补的证明给出了不变曲线的空间的叶理意味着代数熵为零。
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.