Lipschitz Functions Have Lp-Stable Persistence
Lipschitz Functions Have Lp-Stable Persistence
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New York: Springer-Verlag
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English
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New York: Springer-Verlag
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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.
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Lipschitz Functions Have Lp-Stable Persistence
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TN_cdi_springer_journals_10_1007_s10208_010_9060_6
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_springer_journals_10_1007_s10208_010_9060_6
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ISSN
1615-3375
E-ISSN
1615-3383
DOI
10.1007/s10208-010-9060-6