3 papers
math.AT2025
Topological Data Analysis in Air Traffic Management: the shape of big flight data sets
Manuel Cuerno, Luis Guijarro, Rosa MarÃa Arnaldo Valdés +1
Analyzing flight trajectory data sets poses challenges due to the intricate interconnections among various factors and the high dimensionality of the data. Topological Data Analysi…
math.MG2024
Metric Geometry of Spaces of Persistence Diagrams
Mauricio Che, Fernando Galaz-GarcÃa, Luis Guijarro +1
Persistence diagrams are objects that play a central role in topological data analysis. In the present article, we investigate the local and global geometric properties of spaces o…
math.AP2024
Homogenization on parallelizable Riemannian manifolds
Daniel Faraco, Luis Guijarro, Yaroslav Kurylev +1
We consider the problem of finding the homogenization limit of oscillating linear elliptic equations on an arbitrary parallelizable manifold . We replicate the concept of…