Bharali, G and Sridharan, S (2021) THE ENTROPY OF HOLOMORPHIC CORRESPONDENCES: EXACT COMPUTATIONS AND RATIONAL SEMIGROUPS. In: Annales Fennici Mathematici, 46 (2). pp. 1135-1154.
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Official URL: https://doi.org/10.5186/aasfm.2021.4667
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
| Item Type: | Journal Article |
|---|---|
| Publication: | Annales Fennici Mathematici |
| Publisher: | Finnish Mathematical Society |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Holomorphic correspondences; Rational semigroups; Topological entropy |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 16 Dec 2022 10:08 |
| Last Modified: | 16 Dec 2022 10:08 |
| URI: | https://eprints.iisc.ac.in/id/eprint/78480 |
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