4 citations · 5 across the 4 of their papers we have counts for
7 papers
Dynamical aspects of piecewise conformal maps
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…
A complementary proof of Baker's theorem of completely invariant components for transcendental entire functions
Patricia Domínguez, Guillermo Sienra
Baker proved that for transcendental entire functions there is at most one completely invariant component of the Fatou set. It was observed by Julien Duval that there is a missing…
On hyperbolic cobordisms and Hurwitz classes of holomorphic coverings
Carlos Cabrera, Peter Makienko, Guillermo Sienra
In this article we show that for every collection of an even number of polynomials, all of the same degree and in general position, there exist two hyperbolic $…
Dynamics of meromorphic functions outside a countable set of essential singularities
P. Domínguez, M. A. Montes de Oca, G. Sienra
We consider a class of functions, denoted by K in this paper, which are meromorphic outside a compact and countable set B(f), investigated by A. Bolsch in his thesis in 1997. The s…
On Poincaré extensions of rational maps
Carlos Cabrera, Peter Makienko, Guillermo Sienra
There is a classical extension, of Möbius automorphisms of the Riemann sphere into isometries of the hyperbolic space , which is called the Poincaré extension. In thi…
Univalent Baker domains and boundary of deformations
Patricia Dominguez, Guillermo Sienra
For an entire transcendental map with a univalent Baker domain of hyperbolic type I, we study pinching deformations in , the support of this deformation being certain la…