Persistent homology Betti curves and persistence distributions for Trajectum Pb-Pb and O-O events are robust and reflect known flow and multiplicity phenomenology, with no enhanced parameter sensitivity over standard observables.
The self-similar evolution of stationary point processes via persistent homology
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Persistent homology provides a robust methodology to infer topological structures from point cloud data. Here we explore the persistent homology of point clouds embedded into a probabilistic setting, exploiting the theory of point processes. We introduce measures on the space of persistence diagrams and the self-similar scaling of a one-parameter family of these. As the main result we prove a packing relation between the occurring scaling exponents.
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Towards a topological data analysis for heavy-ion collisions
Persistent homology Betti curves and persistence distributions for Trajectum Pb-Pb and O-O events are robust and reflect known flow and multiplicity phenomenology, with no enhanced parameter sensitivity over standard observables.