3 papers
math.GN2020
Weak convergence of robust functions on topological groups
Victor Ayala, Adriano Da Silva, Heriberto Roman-Flores
In this paper we introduce a weak version of level and epigraph convergence for level functions on topological spaces. In the particular case of topological groups we are able to d…
math.DS2018
Dynamics on Hyperspaces
Victor Ayala, Adriano Da Silva, Heriberto Roman-Flores
Given a compact metric space (X; \varrho) and a continuous function f:X\rightarrow X, we study the dynamics of the induced map \bar{f} on the hyperspace of the compact subsets of X…
math.DS2016
Topological entropy of a Lie group automorphism
Victor Ayala, Adriano Da Silva, Heriberto Román-Flores
Let ϕ be an automorphism on a connected Lie group G. Through several G-subgroups associated to the dynamics of ϕ we analyze their topological entropy. Assume that G belongs to the…