Omer Bobrowski

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math.PR2026

Universal topological statistics on triangulated singular spaces

Uzu Lim, Omer Bobrowski, Primoz Skraba

We prove a universality theorem for random persistent homology over a class of triangulable spaces. More precisely, let $M \subset R^{D}$ be a compact $C^{2}$ -triangulable spa…

math.PR2025

Sharp Phase Transitions for k-Fold Coverage Using Morse Theory

Yohai Reani, Omer Bobrowski

We introduce a novel approach for studying random k-coverage, using Morse theory for the k-nearest neighbor (k-NN) distance function. We prove a sharp phase transition for the numb…