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• W3112847427 abstract "We can approximate a continuous map $$f:Xrightarrow X$$ of a compact metric space by discretizing the space into a grid. Through either the map itself or a time series, f induces a multivalued grid map $${{mathcal {F}}}$$ . The dynamical properties of $${{mathcal {F}}}$$ depend on the resolution of the grid, and we study the persistence of these properties as we change the resolution. In particular, we look at the persistence of Morse decompositions, at both the global (Morse graph) and local (individual Morse set) levels, using several notions of persistence—graph structure, persistent homology, and mixing properties." @default.
• W3112847427 created "2020-12-21" @default.
• W3112847427 creator A5078396348 @default.
• W3112847427 date "2022-02-01" @default.
• W3112847427 modified "2023-10-13" @default.
• W3112847427 title "Persistence of Morse decompositions over grid resolution for maps and time series" @default.
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• W3112847427 doi "https://doi.org/10.1007/s41468-022-00086-6" @default.
• W3112847427 hasPublicationYear "2022" @default.
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