Topological pressure for holomorphic correspondences using open covers
Dynamical Systems
2026-03-09 v1
Abstract
In this paper, we define the topological pressure of continuous functions with respect to the holomorphic correspondences using the open covers of the Riemann sphere. Further, we show that this method coincides with the existing definition of pressure that uses the notion of separated and spanning family of orbits.
Keywords
Cite
@article{arxiv.2603.06069,
title = {Topological pressure for holomorphic correspondences using open covers},
author = {Subith Gopinathan},
journal= {arXiv preprint arXiv:2603.06069},
year = {2026}
}