Time Series, Persistent Homology and Chirality

Yuliy Baryshnikov

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Time Series, Persistent Homology and Chirality

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arxiv 1909.09846 v2 pith:MNL2653S submitted 2019-09-21 math.PR math.ATmath.STstat.TH

Yuliy Baryshnikov This is my paper · ORCID

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keywords persistentchiralityhomologyassigningbasicbrowniancharacteristicsdiagram

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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.

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