nLab Herbert Edelsbrunner

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Selected writings

Introducing persistent homology:

• Herbert Edelsbrunner, D. Letscher, and A. Zomorodian, Topological persistence and simplification, Discrete & Computational Geometry, 28 (2002) 511–533 [doi:10.1007/s00454-002-2885-2]

Introducing stability of persistence diagrams:

• David Cohen-Steiner, Herbert Edelsbrunner, John Harer, Stability of Persistence Diagrams, Discrete & Computational Geometry 37 (2007) 103–120 [doi:10.1007/s00454-006-1276-5]

On computational topology:

• Herbert Edelsbrunner, John L. Harer, Computational Topology, An Introduction, American Mathematical Society, 2010 (ISBN:978-0-8218-4925-5, pdf)

On persistent homology:

• Herbert Edelsbrunner, John Harer, Persistent homology – a survey, in: Surveys on Discrete and Computational Geometry: Twenty Years Later, Contemporary Mathematics 453 (2008) [doi:10.1090/conm/453]

• Herbert Edelsbrunner, Dmitriy Morozov, Persistent homology: theory and practice, in: European Congress of Mathematics Kraków, 2–7 July, 2012 EMS $[$doi:10.4171/120-1/3, pdf$]$

Introducing well groups:

• Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel, Quantifying Transversality by Measuring the Robustness of Intersections, Foundations of Computational Mathematics, 11 3 (2011) 345–361 $[$arXiv:0911.2142$]$

• Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel, The Robustness of Level Sets, In: M. de Berg, U. Meyer (eds.) Algorithms – ESA 2010. ESA 2010. Lecture Notes in Computer Science 6346 Springer (2010) $[$doi:10.1007/978-3-642-15775-2_1$]$

• Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, Amit Patel, Homology and Robustness of Level and Interlevel Sets, Homology, Homotopy and Applications, 15 (2013) 51-72 [euclid:1383943667]

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