Topological pressure for holomorphic correspondences using open covers

Fuente: arXiv
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1. Verfasser: Gopinathan, Subith
Format: Preprint
Veröffentlicht: 2026
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author Gopinathan, Subith
author_facet Gopinathan, Subith
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_06069
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Topological pressure for holomorphic correspondences using open covers
Gopinathan, Subith
Dynamical Systems
37D35, 37A35, 37F05
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.
title Topological pressure for holomorphic correspondences using open covers
topic Dynamical Systems
37D35, 37A35, 37F05
url https://arxiv.org/abs/2603.06069