arXiv Analytics

Sign in

arXiv:1909.09846 [math.PR]AbstractReferencesReviewsResources

Time Series, Persistent Homology and Chirality

Yuliy Baryshnikov

Published 2019-09-21Version 1

We investigate the point process of persistent diagram for Brownian motions with drift, obtaining some of its basic characteristics. Further we introduce and study the refinement of the persistent homology, assigning to each bar its chirality.

Categories: math.PR, math.AT, math.ST, stat.TH
Related articles: Most relevant | Search more
arXiv:2406.07075 [math.PR] (Published 2024-06-11)
New density/likelihood representations for Gibbs models based on generating functionals of point processes
arXiv:1503.05669 [math.PR] (Published 2015-03-19)
Minimum spanning acycle and lifetime of persistent homology in the Linial-Meshulam process
arXiv:1301.1466 [math.PR] (Published 2013-01-08)
Crackle: The Persistent Homology of Noise

Links

Toolbox