关于全纯映射的逐点Lyapunov指数

IF 0.5 3区数学 Q3 MATHEMATICS

Fundamenta Mathematicae Pub Date : 2020-08-22 DOI:10.4064/fm847-1-2020

I. Weinstein

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引用次数: 0

摘要

证明了对于任何全纯映射和任何不累积到奇异集或吸引环的有界轨道，其下Lyapunov指数是非负的。同样的结果适用于无界轨道，适用于有界奇异集的映射。此外，只要轨道足够慢，它可以累积到无穷大或一个奇异集。

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On the pointwise Lyapunov exponent of holomorphic maps

We prove that for any holomorphic map, and any bounded orbit which does not accumulate to a singular set or to an attracting cycle, its lower Lyapunov exponent is non-negative. The same result holds for unbounded orbits, for maps with a bounded singular set. Furthermore, the orbit may accumulate to infinity or to a singular set, as long as it is slow enough.

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来源期刊

Fundamenta Mathematicae 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： FUNDAMENTA MATHEMATICAE concentrates on papers devoted to Set Theory, Mathematical Logic and Foundations of Mathematics, Topology and its Interactions with Algebra, Dynamical Systems.