30 citations · 82 across the 30 of their papers we have counts for
34 papers
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…
Equidistribution Measures of infinite entropy for Transcendental Functions
Leandro Arosio, Anna Miriam Benini, John Erik Fornæss +1
In the 1980s Lyubich and Freire-Lopes-Mañé proved that for any rational function of degree d \geq 2, both preimages and periodic points equidistribute to the unique measure of maxi…
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.…
Increasing sequences of complex manifolds with uniform squeezing constants and their Bergman spaces
John Erik Fornæss, Ratna Pal
For , we discuss -dimensional complex manifolds that are the increasing union of bounded open sets 's of with a common uniform squeezing constan…
Density in weighted Bergman spaces and Bergman completeness of Hartogs domains
Bo-Yong Chen, John Erik Fornæss, Jujie Wu
We study the density of functions which are holomorphic in a neighbourhood of the closure of a bounded non-smooth pseudoconvex domain , in the Bergman space $ H^2(Ω…
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…