The Medusa of Spatial Sorting: Topological Construction

Published 27 Jul 2012 in cs.CG, math.AT, q-bio.CB, and q-bio.QM | (1207.6474v1)

Abstract: We consider the simultaneous movement of finitely many colored points in space, calling it a spatial sorting process. The name suggests a purpose that drives the collection to a configuration of increased or decreased order. Mapping such a process to a subset of space-time, we use persistent homology measurements of the time function to characterize the process topologically.

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