21 citations · 73 across the 24 of their papers we have counts for
27 papers
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…
Decompositions of three-dimensional Alexandrov spaces
Luis Atzin Franco Reyna, Fernando Galaz-García, José Carlos Gómez-Larrañaga +2
We extend basic results in -manifold topology to general three-dimensional Alexandrov spaces (or Alexandrov -spaces for short), providing a unified framework for manifold and…
Topological Data Analysis in Air Traffic Management: the shape of big flight data sets
Manuel Cuerno, Luis Guijarro, Rosa María 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…
Upper and lower bounds on the filling radius
Manuel Cuerno, Luis Guijarro
We give a curvature dependent lower bound for the filling radius of all closed Riemannian manifolds as well as an upper one for manifolds which are the total space of a Riemannian…
Basic Metric Geometry of the Bottleneck Distance
Mauricio Che, Fernando Galaz-García, Luis Guijarro +2
Given a metric pair , i.e. a metric space and a distinguished closed set , one may construct in a functorial way a pointed pseudometric space $\mathcal{D}_\…
Metric Geometry of Spaces of Persistence Diagrams
Mauricio Che, Fernando Galaz-García, 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…