2 papers
math.DS2026
Box dimension of stable sub-slices of fractal graphs over Anosov automorphisms
Bernardo Carvalho, Rafael da Costa Pereira
We consider fractal graphs invariant by a skew product of the form where …
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…