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math.CV2025
Herman Rings: Structure, Dynamics, and Open Problems
Gorachand Chakraborty, Subhasis Ghora, Tarakanta Nayak
The existence of the Herman ring of a function adds interest and complexity to the dynamics of the function. We present a detailed and understandable summary of the core discoverie…
math.CV2025
Denjoy-Wolff like set for rational semigroups
Subham Chatterjee, Gorachand Chakraborty, Tarun Kumar Chakra
In this paper, we introduce the concept of Denjoy-Wolff set in rational semigroups. We show that for finitely generated Abelian rational semigroups, the Denjoy-Wolff like set is co…
math.CV2025
On the dynamics of Stirling's iterative root-finding method for rational functions
Nitai Mandal, Gorachand Chakraborty
We study the dynamics of Stirling's iterative root-finding method for rational and polynomial functions. It is seen that the Scaling theorem is not satisfied by Stirling'…