Zobrazeno 1 - 10
of 354
pro vyhledávání: '"Fornæss, John"'
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. If $f=P/Q$, where $P$ and $Q$ are polynomials in 1 complex variable z
Externí odkaz:
http://arxiv.org/abs/2412.02476
Autor:
Fornæss, John Erik, Pal, Ratna
For $d\geq 2$, we discuss $d$-dimensional complex manifolds $M$ that are increasing union of bounded open sets $M_n$'s of $\mathbb{C}^d$ with a common uniform squeezing constant. The description of $M$ is given in terms of the corank of the infinites
Externí odkaz:
http://arxiv.org/abs/2407.02130
We study the density of functions which are holomorphic in a neighbourhood of the closure $\overline{\Omega}$ of a bounded non-smooth pseudoconvex domain $\Omega$, in the Bergman space $ H^2(\Omega ,\varphi)$ with a plurisubharmonic weight $\varphi$.
Externí odkaz:
http://arxiv.org/abs/2402.16494
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 performance, was recently introduced by the third author. Experiments perform
Externí odkaz:
http://arxiv.org/abs/2401.01393
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 performance, was recently introduced by the third author. Experiments perform
Externí odkaz:
http://arxiv.org/abs/2312.12166
Autor:
Fornaess, John Erik, Hu, Mi
In this paper, we investigate the precise behavior of orbits inside attracting basins of rational functions on $\mathbb P^1$ and entire functions $f$ in $\mathbb{C}$. Let $R(z)$ be a rational function on $\mathbb P^1$, $\mathcal {A}(p)$ be the basin
Externí odkaz:
http://arxiv.org/abs/2309.08334
Autor:
Fornaess, John Erik, Pal, Ratna
Domains that are increasing union of balls (up to biholomorphism) and on which the Kobayashi metric vanishes identically arise inexorably in complex analysis. In this article we show that in higher dimensions these domains have infinite volume and th
Externí odkaz:
http://arxiv.org/abs/2104.12413
Very little is currently known about the dynamics of non-polynomial entire maps in several complex variables. The family of transcendental H\'enon maps offers the potential of combining ideas from transcendental dynamics in one variable, and the dyna
Externí odkaz:
http://arxiv.org/abs/2102.05479
In this article we study the injective Kobayashi metric on complex surfaces.
Externí odkaz:
http://arxiv.org/abs/2010.00556