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Lipschitz Functions Have Lp-Stable Persistence

Lipschitz Functions Have Lp-Stable Persistence

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_springer_journals_10_1007_s10208_010_9060_6

Lipschitz Functions Have Lp-Stable Persistence

About this item

Full title

Lipschitz Functions Have Lp-Stable Persistence

Publisher

New York: Springer-Verlag

Journal title

Foundations of computational mathematics, 2010-04, Vol.10 (2), p.127-139

Language

English

Formats

Publication information

Publisher

New York: Springer-Verlag

More information

Scope and Contents

Contents

We prove two stability results for Lipschitz functions on triangulable, compact metric spaces and consider applications of both to problems in systems biology. Given two functions, the first result is formulated in terms of the Wasserstein distance between their persistence diagrams and the second in terms of their total persistence.

Alternative Titles

Full title

Lipschitz Functions Have Lp-Stable Persistence

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_springer_journals_10_1007_s10208_010_9060_6

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_springer_journals_10_1007_s10208_010_9060_6

Other Identifiers

ISSN

1615-3375

E-ISSN

1615-3383

DOI

10.1007/s10208-010-9060-6

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