Time Series, Persistent Homology and Chirality
Probability
2024-10-24 v2 Algebraic Topology
Statistics Theory
Statistics Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1909.09846,
title = {Time Series, Persistent Homology and Chirality},
author = {Yuliy Baryshnikov},
journal= {arXiv preprint arXiv:1909.09846},
year = {2024}
}
Comments
version 2