2 papers
math.DS2025
Spectral decomposition and entropy for open set-valued maps
Rafael Da C. Pereira, Túlio Vales, Cássio H. Vieira Morais
In this paper, we study the dynamics of set-valued maps whose graphs are open and such that the image of each point is an open and connected set. Building upon the work of P. Duart…
math.DS2024
Random circular billiards on surfaces of constant curvature: Pseudo integrability and mixing
Túlio Vales
Given a random map (T_1, T_2, T_3, T_4, p_1, p_2, p_3, p_4), we define a random billiard map on a surface of constant curvature (Euclidean plane, hyperbolic plane, or the sphere).…