Publication Date:
2018
Short description:
The Rank Invariant Stability via Interleavings / Landi, Claudia. - 13:(2018), pp. 1-10. [10.1007/978-3-319-89593-2_1]
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.
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.
Iris type:
Capitolo/Saggio
Keywords:
persistence module, multidimensional matching distance
List of contributors:
Landi, Claudia
Book title:
Research in Computational Topology
Published in: