Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Guillermo Sienra"'
Autor:
Rodrigo Robles, Guillermo Sienra
Publikováno v:
Journal of Fractal Geometry. 9:1-23
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8dc57b443b75705521597d5a2304e549
https://doi.org/10.4171/jfg/115
https://doi.org/10.4171/jfg/115
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 23:283-306
In this article we show that for every collection $\mathcal{C}$ of an even number of polynomials, all of the same degree $d>2$ and in general position, there exist two hyperbolic $3$-orbifolds $M_1$ and $M_2$ with a M\"obius morphism $\alpha:M_1\righ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c29266cb2dff6bd2058aff5a2d97e0a1
https://doi.org/10.1090/ecgd/345
https://doi.org/10.1090/ecgd/345
Publikováno v:
Qualitative Theory of Dynamical Systems. 20
In this article we investigate the dynamics of the family $$F_{\lambda ,c,\mu }(z)= \lambda e^{1/(z^2+c)} + \mu $$ , where $$\lambda ,c\in {\mathbb C}{\setminus }\{0\}$$ and $$\mu \in {\mathbb C}{\setminus }\{\pm i\sqrt{c}\}$$ , with two essential si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2fd964ed6642bffafe0cbbf89d60f81
https://doi.org/10.1007/s12346-020-00443-9
https://doi.org/10.1007/s12346-020-00443-9
Autor:
Renato Leriche, Guillermo Sienra
We study the dynamics of piecewise conformal maps in the Riemann sphere. The normality and chaotic regions are defined and we state several results and properties of these sets. We show that the stability of these piecewise maps is related to the Kle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::837d195fc1e63c5e90a1896cd54c7a32
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 19:197-220
There is a classical extension of Möbius automorphisms of the Riemann sphere into isometries of the hyperbolic space H 3 \mathbb {H}^3 which is called the Poincaré extension. In this paper, we construct extensions of rational maps on the Riemann sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a732912ab0241c311dfdc4b07a2e6427
https://doi.org/10.1090/ecgd/281
https://doi.org/10.1090/ecgd/281
Autor:
Patricia Domínguez, Guillermo Sienra
Publikováno v:
Fundamenta Mathematicae. 228:1-15
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7fbeedc6d82aa09cdc5ef65900912663
https://doi.org/10.4064/fm228-1-1
https://doi.org/10.4064/fm228-1-1
Publikováno v:
Nonlinear Systems and Complexity ISBN: 9783319580616
In order to introduce the dynamics of the class of transcendental meromorphic functions with at least one pole which is not omitted, denoted by \(\mathscr {M}\), we introduce the class Mer. The main definitions and properties concerning the Stable an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::679ed5db32bcaa061973bebb452064cb
https://doi.org/10.1007/978-3-319-58062-3_8
https://doi.org/10.1007/978-3-319-58062-3_8
Publikováno v:
Journal of Difference Equations and Applications. 20:1019-1032
We consider two classes of functions studied by Epstein [A.L. Epstein, Towers of finite type complex analytic maps, Ph.D. thesis, City University of New York, 1993] and by Herring [M.E. Herring, An extension of the Julia–Fatou theory of iteration,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2811f56c9f6b0ed5e9520ded40e40e47
https://doi.org/10.1080/10236198.2014.884084
https://doi.org/10.1080/10236198.2014.884084
Autor:
Patricia Domínguez, Guillermo Sienra
Publikováno v:
Complex Variables and Elliptic Equations. 55:407-416
In this article, we use quasi-conformal surgery to construct examples of meromorphic functions with k-nested, k ∈ ℕ, doubly connected wandering domains W j , 1 ≤ j ≤ k, in the Fatou set. These functions have at least one pole which is not omi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db8a85b1a28c798ce11129205dbc3f3c
https://doi.org/10.1080/17476930903394671
https://doi.org/10.1080/17476930903394671
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 12:773-789
If $f$ is a transcendental entire function with only algebraic singularities we calculate the Ruelle operator of $f$. Moreover, we prove both (i) if $f$ has a summable critical point, then $f$ is not structurally stable under certain topological cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::653540eafb75d03f786ccfaaa3b1525f
https://doi.org/10.3934/dcds.2005.12.773
https://doi.org/10.3934/dcds.2005.12.773