The entropy of holomorphic correspondences: exact computations and rational semigroups

Authors

  • Gautam Bharali Indian Institute of Science, Department of Mathematics
  • Shrihari Sridharan Indian Institute of Science Education & Research

Keywords:

Holomorphic correspondences, rational semigroups, topological entropy

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.

 

Section
Articles

Published

2021-09-14

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