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A Closed Formula for the Interleaving Distance of...
Journal article

A Closed Formula for the Interleaving Distance of Rectangle Persistence Modules

Abstract

We give formulas for calculating the interleaving distance between rectangle persistence modules that depend solely on the geometry of the underlying rectangles. Moreover, we extend our results to calculate the bottleneck distance for rectangle decomposable persistence modules.

Authors

Batan MA; Landi C; Pamuk M

Journal

Mediterranean Journal of Mathematics, Vol. 22, No. 4,

Publisher

Springer Nature

Publication Date

6 2025

DOI

10.1007/s00009-025-02856-9

ISSN

1660-5446