A lower bound for the interleaving distance on persistence modules is given in terms of matching distance of rank invariants. This offers an alternative proof of the stability of rank invariants. As a further contribution, also the internal stability of the rank invariant is proved in terms of interleavings.

The Rank Invariant Stability via Interleavings / Landi, Claudia. - 13:(2018), pp. 1-10. [10.1007/978-3-319-89593-2_1]

The Rank Invariant Stability via Interleavings

Landi, Claudia
2018

Abstract

A lower bound for the interleaving distance on persistence modules is given in terms of matching distance of rank invariants. This offers an alternative proof of the stability of rank invariants. As a further contribution, also the internal stability of the rank invariant is proved in terms of interleavings.
Research in Computational Topology
Chambers, Erin, Fasy, Brittany Terese, Ziegelmeier, Lori
978-3-319-89592-5
978-3-319-89593-2
The Rank Invariant Stability via Interleavings / Landi, Claudia. - 13:(2018), pp. 1-10. [10.1007/978-3-319-89593-2_1]
Landi, Claudia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1165117
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