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math.DS2025
Orbits Inside Basins of Attraction of Skew Products
John Erik Fornaess, Mi Hu
A basic problem in complex dynamics is to understand orbits of holomorphic maps. One problem is to understand the collection of points in an attracting basin whose forward orbi…
math.DS2025
Backtracking New Q-Newton's method for finding roots of meromorphic functions in 1 complex variable: Global convergence, and local stable/unstable curves
John Erik Fornæss, Mi Hu, Tuyen Trung Truong
In this paper, we research more in depth properties of Backtracking New Q-Newton's method (recently designed by the third author), when used to find roots of meromorphic functions.…