works on
Čech complex 1persistent homology 1random point processes 1triangulable spaces 1Vietoris-Rips complex 1

From the 1 of 1 linked paper with an AI index.

collaborators

1 paper

math.PR2026

Universal topological statistics on triangulated singular spaces

Uzu Lim, Omer Bobrowski, Primoz Skraba

The paper proves that the expected persistent homology of random point clouds on a wide class of triangulable spaces converges to a universal limit that does not depend on the spec…