Daniel Perez

activity

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

collaborators

3 papers

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…

math.AT2020

On $C^{0}$ -persistent homology and trees

Daniel Perez

In this paper we give a metric construction of a tree which correctly identifies connected components of superlevel sets of $R$ -valued continuous functions $f$ on $X$ and…

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

On C0-persistent homology and trees

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

On $C^{0}$ -persistent homology and trees