Time Series, Persistent Homology and Chirality

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1. Verfasser: Baryshnikov, Yuliy
Format: Preprint
Veröffentlicht: 2019
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author Baryshnikov, Yuliy
author_facet Baryshnikov, Yuliy
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1909_09846
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Time Series, Persistent Homology and Chirality
Baryshnikov, Yuliy
Probability
Algebraic Topology
Statistics Theory
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.
title Time Series, Persistent Homology and Chirality
topic Probability
Algebraic Topology
Statistics Theory
url https://arxiv.org/abs/1909.09846