Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Mihalache Nicolae"'
Autor:
Vigneron, Francois, Mihalache, Nicolae
This article presents a new algorithm to compute all the roots of two families of polynomials that are of interest for the Mandelbrot set $\mathcal{M}$ : the roots of those polynomials are respectively the parameters $c\in\mathcal{M}$ associated with
Externí odkaz:
http://arxiv.org/abs/2402.06083
Autor:
Poedts Stefaan, Kochanov Andrey, Lani Andrea, Scolini Camilla, Verbeke Christine, Hosteaux Skralan, Chané Emmanuel, Deconinck Herman, Mihalache Nicolae, Diet Fabian, Heynderickx Daniel, De Keyser Johan, De Donder Erwin, Crosby Norma B., Echim Marius, Rodriguez Luciano, Vansintjan Robbe, Verstringe Freek, Mampaey Benjamin, Horne Richard, Glauert Sarah, Jiggens Piers, Keil Ralf, Glover Alexi, Deprez Grégoire, Luntama Juha-Pekka
Publikováno v:
Journal of Space Weather and Space Climate, Vol 10, p 14 (2020)
Aims. Our goal is to develop and provide an open end-to-end (Sun to Earth) space weather modeling system, enabling to combine (“couple”) various space weather models in an integrated tool, with the models located either locally or geographically
Externí odkaz:
https://doaj.org/article/2377ec8bfefa41ec9dc1c2e3c38c6597
We propose a short proof of the Fundamental Theorem of Algebra based on the ODE that describes the Newton flow and the fact that the value $|P(z)|$ is a Lyapunov function. It clarifies an idea that goes back to Cauchy.
Externí odkaz:
http://arxiv.org/abs/2304.03776
Autor:
Mihalache, Nicolae
We prove an extension of M. Hata's theorem [4] for planar Markov Iterated Function Systems satisfying a strong version of the Open Set Condition. More precisely, if the attractor of such a system is connected, then it is locally connected. We constru
Externí odkaz:
http://arxiv.org/abs/2211.14251
Autor:
Kloeckner, Benoît, Mihalache, Nicolae
In the field of dynamical systems, it is not rare to meet irregular functions, which are typically H{\"o}lder but not Lipschitz (e.g. the Weierstrass functions). Our goal is to scratch the surface of the following question: what happens if we conside
Externí odkaz:
http://arxiv.org/abs/2210.13038
We propose an algorithm for quickly evaluating polynomials. It pre-conditions a complex polynomial $P$ of degree $d$ in time $O(d\log d)$, with a low multiplicative constant independent of the precision. Subsequent evaluations of $P$ computed with a
Externí odkaz:
http://arxiv.org/abs/2211.06320
A closed interval and circle are the only smooth Julia sets in polynomial dynamics. D. Ruelle proved that the Hausdorff dimension of unicritical Julia sets close to the circle depends analytically on the parameter. Near the tip of the Mandelbrot set
Externí odkaz:
http://arxiv.org/abs/2007.07661
Publikováno v:
In Journal of Functional Analysis 15 August 2022 283(4)
The moduli space $\mathcal{M}_d$ of degree $d\geq2$ rational maps can naturally be endowed with a measure $\mu_\mathrm{bif}$ detecting maximal bifurcations, called the bifurcation measure. We prove that the support of the bifurcation measure $\mu_\ma
Externí odkaz:
http://arxiv.org/abs/1705.06114
Autor:
Dobbs, Neil, Mihalache, Nicolae
Publikováno v:
Communications in Mathematical Physics, 365(3), 1091-1123, 2019
Milnor and Thurston's famous paper proved monotonicity of the topological entropy for the real quadratic family. Guckenheimer showed that it is H\"older continuous. We obtain a precise formula for the H\"older exponent at almost every quadratic param
Externí odkaz:
http://arxiv.org/abs/1610.02563