10 citations · 10 across the 2 of their papers we have counts for
2 papers
math.PR2019
Homological Connectivity in Random Čech Complexes
Omer Bobrowski
We study the homology of random Čech complexes generated by a homogeneous Poisson process. We focus on 'homological connectivity' - the stage where the random complex is dense enou…
math.PR2013★ 10 cited
Crackle: The Persistent Homology of Noise
Robert J. Adler, Omer Bobrowski, Shmuel Weinberger
We study the homology of simplicial complexes built via deterministic rules from a random set of vertices. In particular, we show that, depending on the randomness that generates t…