3 papers
math.DS2026
Uniqueness of the equilibrium state in the dynamics of holomorphic correspondences
Bharath Krishna Seshadri, Shrihari Sridharan
This paper concerns the study of the existence of a unique equilibrium state for a Hölder continuous function under the dynamics of a holomorphic correspondence defined on the Riem…
math.DS2026
A view towards mixing in holomorphic correspondences
Sathi Trikkadeeri Mana, Bharath Krishna Seshadri
In this manuscript we develop a theory of mixing and weakly mixing in the study of dynamics of holomorphic correspondences defined on a compact connected complex manifold. We also…
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…