nLab Dmitriy Morozov

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Selected writings

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$]$

On persistent homology:

• 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$]$

On zigzag persistence, connecting persistent homology to A-type quiver representation-theory, applied to level sets:

• Gunnar Carlsson, Vin de Silva, Dmitriy Morozov, Zigzag persistent homology and real-valued functions, in: SCG ‘09: Proceedings of the twenty-fifth annual symposium on Computational geometry (2009) 247–256 $[$doi:10.1145/1542362.1542408$]$

• Gunnar Carlsson, Vin de Silva, Sara Kališnik, Dmitriy Morozov, Parametrized Homology via Zigzag Persistence, Algebr. Geom. Topol. 19 (2019) 657-700 $[$arXiv:1604.03596, doi:10.2140/agt.2019.19.657$]$