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arXiv 1303.5992math.DSmath.CV
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具有支配拓扑度的亚纯映射的等分布

Equidistribution for meromorphic maps with dominant topological degree

Tien-Cuong Dinh, Viet-Anh Nguyen, Tuyen Trung Truong

摘要:

设f是紧致Kaehler流形上的亚纯自映射,其拓扑度严格大于其它动力度.我们证明了排斥周期点关于f的平衡测度是等分布的。我们还描述了例外的一组点,其向后的轨道不均匀分布。

英文摘要:

Let f be a meromorphic self-map on a compact Kaehler manifold whose topological degree is strictly larger than the other dynamical degrees. We show that repelling periodic points are equidistributed with respect to the equilibrium measure of f. We also describe the exceptional set of points whose backward orbits are not equidistributed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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