Publications [#42085] of John Harer

Papers Published

1. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Stability of persistence diagrams., Discrete Comput. Geom., vol. 37 (2007), pp. 103-120
   (last updated on 2007/12/16)

   Author's Comments:
   D. Cohen-Steiner, H. Edelsbrunner and J. Harer. .

   Abstract:
   The persistence diagram of a real-valued function on a topological space is a multi-set of points in the extended plane. We prove that under mild assumptions on the function, the persistence diagram is stable: small changes in the function imply only small changes in the diagram. We apply this result to estimating the homology of sets in a metric space and to comparing and classifying geometric shapes.