nLab Steve Y. Oudot

• personal page

Selected writings

On persistence modules and stability of persistence diagrams:

• Frédéric Chazal, David Cohen-Steiner, Marc Glisse, Leonidas J. Guibas, Steve Y. Oudot, Proximity of persistence modules and their diagrams, SCG ‘09: Proceedings of the twenty-fifth annual symposium on Computational geometry (2009) 237–246 $[$doi:10.1145/1542362.1542407$]$

• Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot, The structure and stability of persistence modules, SpringerBriefs in Mathematics, Springer (2016) $[$arXiv:1207.3674, doi:10.1007/978-3-319-42545-0$]$

On persistent homology and topological data analysis, with focus on the use of quiver representation-theory (such as Gabriel's theorem):

• Steve Y. Oudot, Persistence Theory: From Quiver Representations to Data Analysis, Mathematical Surveys and Monographs 209 AMS (2015) $[$ISBN:978-1-4704-3443-4, pdf$]$

On level set persistent homology and sheaf theory:

• Nicolas Berkouk, Grégory Ginot, Steve Oudot, Level-sets persistence and sheaf theory $[$arXiv:1907.09759, talk$]$

category: people