Persistence barcodes and Laplace eigenfunctions on surfaces

Iosif Polterovich; Leonid Polterovich; Vukašin Stojisavljević

doi:10.1007/s10711-018-0383-9

Persistence barcodes and Laplace eigenfunctions on surfaces

Iosif Polterovich, Leonid Polterovich, Vukašin Stojisavljević

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	111-138
Number of pages	28
Journal	Geometriae Dedicata
Volume	201
Issue number	1
DOIs	https://doi.org/10.1007/s10711-018-0383-9
State	Published - 1 Aug 2019

Keywords

Barcode
Laplace–Beltrami operator
Persistent homology

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s10711-018-0383-9

Cite this

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title = "Persistence barcodes and Laplace eigenfunctions on surfaces",

abstract = "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.",

keywords = "Barcode, Laplace–Beltrami operator, Persistent homology",

author = "Iosif Polterovich and Leonid Polterovich and Vuka{\v s}in Stojisavljevi{\'c}",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature B.V.",

year = "2019",

month = aug,

day = "1",

doi = "10.1007/s10711-018-0383-9",

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T1 - Persistence barcodes and Laplace eigenfunctions on surfaces

AU - Polterovich, Iosif

AU - Polterovich, Leonid

AU - Stojisavljević, Vukašin

PY - 2019/8/1

Y1 - 2019/8/1

N2 - 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.

AB - 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.

KW - Barcode

KW - Laplace–Beltrami operator

KW - Persistent homology

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U2 - 10.1007/s10711-018-0383-9

DO - 10.1007/s10711-018-0383-9

M3 - مقالة

SN - 0046-5755

VL - 201

SP - 111

EP - 138

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

Persistence barcodes and Laplace eigenfunctions on surfaces

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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