论文标题

全体形态通讯的熵:精确的计算和合理的半群

The entropy of holomorphic correspondences: exact computations and rational semigroups

论文作者

Bharali, Gautam, Sridharan, Shrihari

论文摘要

我们研究了Friedland和Dinh-Sbibony引入的对应关系的拓扑熵的两个概念。上限以两者而闻名。我们确定了一类全体形态对应关系,其熵在dinh-sibony的意义上等于已知的上限。这提供了理性半群的熵的精确计算。我们还探索了这两个熵概念之间的联系。

We study two notions of topological entropy of correspondences introduced by Friedland and Dinh-Sibony. Upper bounds are known for both. We identify a class of holomorphic correspondences whose entropy in the sense of Dinh-Sibony equals the known upper bound. This provides an exact computation of the entropy for rational semigroups. We also explore a connection between these two notions of entropy.

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