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arXiv · 2004.13691

The entropy of holomorphic correspondences: exact computations and rational semigroups

Gautam Bharali·Shrihari Sridharan
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Abstract

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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Gautam Bharali, Shrihari Sridharan. 2020-04-28. The entropy of holomorphic correspondences: exact computations and rational semigroups. https://arxiv.org/abs/2004.13691

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