19 citations · 31 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
Generalised Lüroth expansions and a family of Minkowski's Question-Mark functions
Aubin Arroyo
The Minkowski's Question-Mark function is a singular homeomorphism of the unit interval that maps the set of quadratic surds into the rationals. This function has deserved the atte…
Structure and evolution of strange attractors in non-elastic triangular billiards
Aubin Arroyo, Roberto Markarian, David P. Sanders
We study pinball billiard dynamics in an equilateral triangular table. In such dynamics, collisions with the walls are non-elastic: the outgoing angle with the normal vector to the…
C^k-Robust transitivity for surfaces with boundary
Aubin Arroyo, Enrique R. Pujals
We prove that C^1-robustly transitive diffeomorphisms on surfaces with boundary do not exist, and we exhibit a class of diffeomorphisms of surfaces with boundary which are C^k-robu…
Bifurcations of periodic and chaotic attractors in pinball billiards with focusing boundaries
Aubin Arroyo, Roberto Markarian, David P. Sanders
We study the dynamics of billiard models with a modified collision rule: the outgoing angle from a collision is a uniform contraction, by a factor lambda, of the incident angle. Th…