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arXiv · 1210.3092

Contributions to Persistence Theory

Dong Du
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Abstract

This paper provides a method to calculate the bar codes of a PCD (point cloud data) with real coefficients in Section 3. With Dan Burghelea and Tamal Dey we developed a persistence theory which involves level sets discussed in Section 4. This paper is the Ph.D thesis written under the direction of Dan Burghelea at OSU.

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Dong Du. 2014-04-20. Contributions to Persistence Theory. https://arxiv.org/abs/1210.3092

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