2 papers
math.PR2026
Random chain complexes of real vector spaces
Ayat Ababneh, Matthew Kahle
We introduce a natural class of models of random chain complexes of real vector spaces that some classical ensembles of random matrices, the length case. We are interested here…
math.CO2022
Maximal persistence in random clique complexes
Ayat Ababneh, Matthew Kahle
We study the persistent homology of an Erdős--Rényi random clique complex filtration on vertices. Here, each edge appears at a time chosen uniform randomly…