2 papers
stat.ML2026
Exploring Singularities in point clouds with the graph Laplacian: An explicit approach
Martin Andersson, Benny Avelin
We develop theory and methods that use the graph Laplacian to analyze the geometry of the underlying manifold of datasets. Our theory provides theoretical guarantees and explicit b…
math.DS2024
Non-uniformly hyperbolic endomorphisms
Martin Andersson, Pablo D. Carrasco, Radu Saghin
We show the existence of large open sets of area preserving endomorphisms of the two-torus which have no dominated splitting and are non-uniformly hyperbolic, meanin…