3 papers
math.AT2025
Geometric Obstructions in Finsler Spaces and Torsion-Free Persistent Homology
Rafael Cavalcanti
We relate the novel concept of Topological Data Analysis in Finsler space with representability property, which is a natural obstruction to prevent spurious features in high dimens…
math.DG2025
Topological Data Analysis in Finsler Spaces
Rafael Cavalcanti, Nelson Leal, Danilo Barros de Souza +2
We introduce a new approach to Topological Data Analysis (TDA) based on Finsler metrics and we also generalize the classical concepts of Vietoris-Rips and Cech complexes within thi…
math.DS2025
Modeling Coral Reef Bleaching Recovery Through KCC-Theory
Rafael Cavalcanti, Solange Rutz
We use Volterra-Hamilton systems theory and their associated cost functional to study the population dynamics and productive processes of coral reefs in recovery from bleaching and…