3 papers
math.DS2026
Topological pressure for holomorphic correspondences using open covers
Subith Gopinathan
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 s…
math.DS2026
A variational principle for holomorphic correspondences
Subith Gopinathan, Shrihari Sridharan
In this paper, we consider a dynamical system on the Riemann sphere that evolves through a set-valued map, namely a holomorphic correspondence. Analogous to the investigation of th…
math.DS2025
Counting functions over periodic orbits of a skew-product map
Subith Gopinathan, Bharath Krishna Seshadri, Shrihari Sridharan
In this manuscript, we investigate some properties of certain counting functions, associated to the ergodic sums computed along the periodic orbits of the skew-product map, related…