3 papers
math.DS2026
Dynamics inside the attracting basins of some skew products
John Erik Fornæss, Mi Hu, Feng Rong
Polynomial skew products in are maps of the form , where and are polynomials. Their local dynamics have been widely investigated. In th…
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.DS2023
Dynamics inside Fatou sets in higher dimensions
Mi Hu
In this paper, we investigate the behavior of orbits inside attracting basins in higher dimensions. Suppose , where are two polynomials of degree…