Dynamics of quadratic polynomial mappings of C2

Dynamics of quadratic polynomial mappings of C2
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C2 的二次多项式映射的动力学

DOI:
10.1307/mmj/1100623417
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发表时间:
2004
期刊:
影响因子:
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通讯作者:
V. Guedj
V. Guedj
中科院分区:
--
文献类型:
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作者:
V. Guedj

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我们分类共轭(线性仿射自同构)二次多项式自同态的C和测试他们两个自然的问题。他们承认代数稳定紧化吗?他们是否承认最大熵的唯一度量?2000年数学学科分类:32H50、58F23、58F15。
We classify up to conjugacy (by linear affine automorphisms) quadratic polynomial endomorphisms of C and test on them two natural questions. Do they admit an algebraically stable compactification ? Do they admit a unique measure of maximal entropy ? 2000 Mathematics Subject Classification: 32H50, 58F23, 58F15.