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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.DS2025
Optical Billiards
Sylvie Oliffson Kamphorst, Sônia Pinto-de-Carvalho, Cássio Henrique Vieira Morais
This paper investigates the dynamics of optical billiards, a generalization of classic billiards, where light rays travel within a refractive medium and reflect elastically at the…