3 papers
math.OC2024
Backtracking New Q-Newton's method, Newton's flow, Voronoi's diagram and Stochastic root finding
John Erik Fornaess, Mi Hu, Tuyen Trung Truong +1
A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental perform…
math.DS2023
Orbits inside Fatou sets
John Erik Fornaess, Mi Hu
In this paper, we investigate the precise behavior of orbits inside attracting basins of rational functions on and entire functions in . Let be…
math.DS2022
Interior Dynamics of Fatou Sets
Mi Hu
In this paper, we investigate the precise behavior of orbits inside attracting basins. Let be a holomorphic polynomial of degree in , be…