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In this work we introduce the broken line construction, which is a geometric and combinatorial algorithm that computes periodic Sturmian angles of a given period, yielding the locations of their landing parameters in the Mandelbrot set. An easy to im
Externí odkaz:
http://arxiv.org/abs/2409.07636
Autor:
Nopal-Coello, Víctor
Let $\mathbb{C}_K$ be a complete and algebraic closed non-archimedean field with residual characteristic $2$. In this paper we prove that there exist $a,b\in\mathbb{C}_K$ such that the rational function $R(z)=\frac{z^2-z}{bz-\frac{1}{a}}$ has wanderi
Externí odkaz:
http://arxiv.org/abs/2404.14614
This research proposes a new method for approximating the solution of the inverse problem of finding a rational function that generates known local dynamics within distinct, disjoint closed balls in non-Archimedean fields. Although our approach is no
Externí odkaz:
http://arxiv.org/abs/2311.04363
Consider a rational map $R$ of degree $d\geq 2$ with coefficients over the non-archimedean field $\mathbb{C}_p$, with $p$ a fixed prime number. If $R$ has a cycle of Siegel disks and has good reduction, then it was shown by Rivera-Letelier in his PhD
Externí odkaz:
http://arxiv.org/abs/1811.07198
Autor:
Benjamín Alfonso Itzá-Ortiz, Rubén Alejandro Martínez-Avendaño, Víctor Nopal-Coello, Rafael Villarroel-Flores
Publikováno v:
Pädi Boletín Científico de Ciencias Básicas e Ingenierías del ICBI. 10:52-58
En este artículo damos una prueba alternativa y elemental a un resultado propuesto por los primeros dos autores sobre la expresión de la envolvente convexa de dos círculos como la unión de una familia no-numerable de elipses. Las herramientas emp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87227b1cf23d2dd1bb923231b78346f4
https://doi.org/10.29057/icbi.v10iespecial.8444
https://doi.org/10.29057/icbi.v10iespecial.8444
Akademický článek
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Autor:
Víctor Nopal-Coello
Publikováno v:
Transactions of the American Mathematical Society.
Consider a rational function of degree d ≥ 2 d\geq 2 acting on the Berkovich projective line of a complete and algebraically closed non-archimedean field. Rivera-Letelier has asked if a rational function in this setting can have infinitely many cyc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dabaf438e020aa414d027a9e44a09518
https://doi.org/10.1090/tran/8741
https://doi.org/10.1090/tran/8741
Consider a rational map $R$ of degree $d\geq 2$ with coefficients over the non-archimedean field $\mathbb{C}_p$, with $p$ a fixed prime number. If $R$ has a cycle of Siegel disks and has good reduction, then it was shown by Rivera-Letelier in his PhD
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b691c77791180d94e3fa0b81a395d757
Autor:
Nopal Coello, Víctor
Publikováno v:
Centro de Investigación en Matemáticas
CIMAT
Repositorio Institucional CIMAT
CIMAT
Repositorio Institucional CIMAT
El concepto de espacio moduli surge cuando se estudian problemas donde se busca clasificar objetos geométrico-algebraicos, módulo una relación de equivalencia. Muchas veces estos problemas de clasificación son muy complicados
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::b608e6950e684b7011c7c5a7106c7091
http://cimat.repositorioinstitucional.mx/jspui/handle/1008/341
http://cimat.repositorioinstitucional.mx/jspui/handle/1008/341
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