Time Series, Persistent Homology and Chirality

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.

version 2

References in corpus (4)

• Time series irreversibility: a visibility graph approach
• Corner percolation on ${\mathbb{Z}}^2$ and the square root of 17
• Limit theorems for Betti numbers of random simplicial complexes
• Minimal Unimodal Decompositions on Trees

Cited by in corpus (1)

• $\zeta$-functions and the topology of superlevel sets of stochastic processes