9 citations · 21 across the 14 of their papers we have counts for
17 papers
On the amenability of semigroups of entire maps and formal power series
C. Cabrera, P. Dominguez, P. Makienko
In this article, we investigate some relations between dynamical and algebraic properties of semigroups of entire maps with applications to semigroups of formal series. We show tha…
On amenability and measure of maximal entropy for semigroups of rational maps: II
Peter Makienko, Carlos Cabrera
We compare dynamical and algebraic properties of semigroups of rational maps. In particular, we show a version of the Day-von Neumann's conjecture and give a partial positive answe…
Elementary characters on semigroups: the rational case
Adrián Esparza-Amador, Peter Makienko
Since polynomials form a subsemigroup of the semigroup of rational functions, every character on rational functions is a character on polynomials. On the other direction, not every…
Amenability and measure of maximal entropy for semigroups of rational maps
Carlos Cabrera, Peter Makienko
In this article we discuss relations between algebraic and dynamical properties of non-cyclic semigroups of rational maps.
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 $…
On the Abel-Nörlund-Voronoi summability and instability of rational maps
Carlos Cabrera, Peter Makienko, Alfredo Poirier
We investigate the connection between the instability of rational maps and summability methods applied to the spectrum of a critical point on the Julia set of a given rational map.