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arXiv · 2211.12384

Euler and Betti curves are stable under Wasserstein deformations of distributions of stochastic processes

Daniel Perez
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Abstract

Euler and Betti curves of stochastic processes defined on a $d$-dimensional compact Riemannian manifold which are almost surely in a Sobolev space $W^{n,s}(X,\mathbb{R})$ (with $d \frac{d}{n}$ for persistence diagrams stemming from functions in $W^{n,s}(X,\mathbb{R})$.

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Daniel Perez. 2022-11-22. Euler and Betti curves are stable under Wasserstein deformations of distributions of stochastic processes. https://arxiv.org/abs/2211.12384

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