Metric geometry of spaces of persistence diagrams. [PDF]
Che M +3 more
europepmc +1 more source
Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics. [PDF]
Kunzinger M, Ohanyan A, Vardabasso A.
europepmc +1 more source
Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature. [PDF]
Honda S, Mondino A.
europepmc +1 more source
Simplifying Transforms for General Elastic Metrics on the Space of Plane Curves. [PDF]
Needham T, Kurtek S.
europepmc +1 more source
Supervised Gromov-Wasserstein Optimal Transport with Metric-Preserving Constraints. [PDF]
Cang Z, Wu Y, Zhao Y.
europepmc +1 more source
TOPOLOGICAL LEARNING FOR BRAIN NETWORKS. [PDF]
Songdechakraiwut T, Chung MK.
europepmc +1 more source
Distributional Sectional Curvature Bounds for Riemannian Metrics of Low Regularity. [PDF]
Erös D +3 more
europepmc +1 more source
The GHP Scaling Limit of Uniform Spanning Trees in High Dimensions. [PDF]
Archer E, Nachmias A, Shalev M.
europepmc +1 more source
A Characterization of Codimension One Collapse Under Bounded Curvature and Diameter. [PDF]
Roos S.
europepmc +1 more source
Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three
Starting from a closed, orientable three-dimensional Riemannian manifold, we consider the completion of the associated singular Ricci flow with respect to a natural spacetime distance. We show that this completion admits canonical intrinsic metrics on its time-slices, defined by conjugate heat kernel measures, and that these time-slices arise as metric
openaire +2 more sources

