The entropy of holomorphic correspondences: exact computations and rational semigroups
Keywords:Holomorphic correspondences, rational semigroups, topological entropy
AbstractWe 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.
How to Cite
Bharali, G., & Sridharan, S. (2021). The entropy of holomorphic correspondences: exact computations and rational semigroups. Annales Fennici Mathematici, 46(2), 1135–1154. Retrieved from https://afm.journal.fi/article/view/111249
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