Daniel Perez

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20202022

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

1 citations · 1 across the 3 of their papers we have counts for

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math.PR2022★ 1 cited

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

Daniel Perez

Euler and Betti curves of stochastic processes defined on a $d$ -dimensional compact Riemannian manifold which are almost surely in a Sobolev space $W^{n, s} (X, R)$ (with $d<…

math.PR2021

$ζ$ -functions and the topology of superlevel sets of stochastic processes

Daniel Perez

We describe the topology of superlevel sets of ( $α$ -stable) Lévy processes X by introducing so-called stochastic $ζ$ -functions, which are defined in terms of the widely used $\text…

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

ζ-functions and the topology of superlevel sets of stochastic processes

$ζ$ -functions and the topology of superlevel sets of stochastic processes