2 citations · 3 across the 11 of their papers we have counts for
15 papers
Holomorphic Linear $\C^k$-Actions, Trace Foliations, and Higher-Rank Poincaré Dynamics
Aubin Arroyo, Carlos Cabrera, José Seade +1
We study the orbit decomposition on $\C^n$ generated by diagonal holomorphic $\C^k$-actions in the higher-rank setting of the classical Poincaré--Siegel dichotomy for linear vector…
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…
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.
On hyperbolic metric and asymptotically finite invariant differentials in holomorphic dynamics
Carlos Cabrera, Peter Makienko
Given a rational map , we consider the complement of the postcritical set . In this paper we discuss the existence of invariant Beltrami differentials supported on a in…