On the persistent homology of almost surely \(C^0\) stochastic processes

DOI10.1007/s41468-023-00132-xzbMath1527.60062arXiv2012.09459WikidataQ121672667 ScholiaQ121672667MaRDI QIDQ6061911

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Publication date: 30 November 2023

Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09459

zbMATH Keywords

random walksBrownian motionstochastic processesMarkov processesrates of convergencetreestopological data analysispersistent homologybarcodes

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Brownian motion (60J65) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Other homology theories in algebraic topology (55N35) Exponential and trigonometric functions (33B10)

Cites Work

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• Hungarian constructions from the nonasymptotic viewpoint
• Probabilistic and fractal aspects of Lévy trees
• The Brownian cactus. I: Scaling limits of discrete cactuses
• The fiber of the persistence map for functions on the interval
• Probability and real trees. Ecole d'Eté de Probabilités de Saint-Flour XXXV -- 2005. Lecture given at the Saint-Flour probability summer school, July 6--23, 2005.
• A tree approach to \(p\)-variation and to integration
• Brownian Motion, Martingales, and Stochastic Calculus
• The Structure and Stability of Persistence Modules
• Level Sets and Extrema of Random Processes and Fields
• An approximation of partial sums of independent RV's, and the sample DF. II
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Random Fields and Geometry
• Mathematical Analysis of Random Noise
• Brownian Motion

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