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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 2014 Volume 11, Pages 130–141 (Mi semr476)
Geometry and topology

Stability of integral persistence diagrams

A. E. Abzhanova, Ya. V. Bazaikinb

a Nazarbayev University Research and Innovation System
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We define concept of integral persistent diagram which involve geometrical characteristics of excursion sets and prove stability of such diagrams.

Keywords: computational topology, persistence, stability.

UDC: 519.6+515.146

MSC: 55-04

Received September 18, 2013, published February 17, 2014


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