2 citations · 3 across the 4 of their papers we have counts for
4 papers
Metric mean dimension and mean Hausdorff dimension varying the metric
Jeovanny Muentes Acevedo, Alex Jenaro Becker, Alexandre Tavares Baraviera +1
Let be a continuous map on a compact metric space equipped with a fixed metric , and let be the topology on induced by . First, we will establ…
Entropy for -trees defined by transition matrices
Andressa Paola Cordeiro, Alexandre Tavares Baraviera, Alex Jenaro Becker
We study Markov tree-shifts given by transition matrices, one for each of its directions. We provide a method to characterize the complexity function for these tree-shifts,…
On the Local Theory of Billiards in Polygons
Alex Becker
A periodic trajectory on a polygonal billiard table is stable if it persists under any sufficiently small perturbation of the table. It is a standard result that a periodic traject…
Periodic Billiards in Isosceles Triangles
Alex Becker
Any periodic trajectory on an isosceles triangle gives rise to a periodic trajectory on a right triangle obtained by identifying the halves of the original triangle. We examine the…