Persistence barcodes and Laplace eigenfunctions on surfaces

Iosif Polterovich; Leonid Polterovich; Vuka\v{s}in Stojisavljevi\'c

arxiv: 1711.07577 · v3 · pith:PBBTJOQYnew · submitted 2017-11-20 · 🧮 math.SP · math.AP· math.AT

Persistence barcodes and Laplace eigenfunctions on surfaces

Iosif Polterovich , Leonid Polterovich , Vuka\v{s}in Stojisavljevi\'c This is my paper

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keywords eigenfunctionsbarcodescombinationslaplacelinearpersistencesurfacesapplications

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We obtain restrictions on the persistence barcodes of Laplace-Beltrami eigenfunctions and their linear combinations on compact surfaces with Riemannian metrics. Some applications to uniform approximation by linear combinations of Laplace eigenfunctions are also discussed.

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Persistence barcodes and Laplace eigenfunctions on surfaces

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