30 citations · 82 across the 30 of their papers we have counts for
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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.…
Backtracking New Q-Newton's method, Schröder's theorem, and Linear Conjugacy
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…
Infinite entropy for transcendental entire functions with an omitted value
Anna Miriam Benini, John Erik Fornæss, Han Peters
We prove that entire transcendental holomorphic functions with an omitted value have infinite entropy. A proof for general transcendental entire functions will be given in an upcom…
Complex dynamics with focus on the real parts
John Erik Fornaess, Han Peters
We consider the dynamics of holomorphic polynomials in . We show that the ergodic properties of the map can be seen already from the real parts of the orbits.