Geodesic
The entropy of holomorphic correspondences: exact computations and rational semigroups
Gautam Bharali1 ; Shrihari Sridharan2
1Indian Institute of Science, Department of Mathematics
2Indian Institute of Science Education & Research
Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 1135-1154
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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.  
Keywords: Holomorphic correspondences, rational semigroups, topological entropy

Gautam Bharali  1   ; Shrihari Sridharan  2

1 Indian Institute of Science, Department of Mathematics
2 Indian Institute of Science Education & Research 
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Gautam Bharali; Shrihari Sridharan. The entropy of holomorphic correspondences: exact computations and rational semigroups. Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 1135-1154. http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a30/