3 papers
math.CO2026
Causal Edge Rees Algebras for Spatiotemporal Graphs
Marcilio Ferreira dos Santos, Cleiton de Lima Ricardo
Understanding the evolution of connectivity in spatiotemporal systems requires mathematical frameworks capable of encoding not only instantaneous interactions but also their cumula…
q-bio.PE2026
Scale-dependent Temporal Signatures of Arboviral Transmission in Urban Environments
MarcÃlio Ferreira dos Santos, Cleiton de Lima Ricardo
Understanding epidemic dynamics in urban environments requires models that capture interactions across space and time while incorporating biological constraints. In this work, we p…
q-bio.PE2026
Topological Percolation in Urban Dengue Transmission: A Multi-Scale Analysis of Spatial Connectivity
MarcÃlio Ferreira dos Santos, Cleiton de Lima Ricardo
We investigate the spatial organization of dengue cases in the city of Recife, Brazil, from 2015 to 2024, using tools from statistical physics and topological data analysis. Report…