Footprints of Geodesics in Persistent Homology

Rips Complexes as Nerves and a Functorial Dowker-Nerve Diagram

(2021) Žiga Virk   Mediterranean Journal of Mathematics

On Vietoris–Rips complexes of ellipses

(2018) Michał Adamaszek et al.   Journal of Topology and Analysis

Approximations of 1-dimensional intrinsic persistence of geodesic spaces and their stability

(2018) Žiga Virk   Revista Matematica Complutense

1-dimensional intrinsic persistence of geodesic spaces

(2018) Žiga Virk   Journal of Topology and Analysis

The Vietoris–Rips complexes of a circle

(2017) Michał Adamaszek et al.   PACIFIC JOURNAL OF MATHEMATICS

The observable structure of persistence modules

(2016) Frédéric Chazal et al.   Homology Homotopy and Applications

Persistence stability for geometric complexes

(2013) Frédéric Chazal et al.   GEOMETRIAE DEDICATA

A combinatorial approach to coarse geometry

(2011) M. Cencelj et al.   TOPOLOGY AND ITS APPLICATIONS

Vietoris–Rips Complexes of Planar Point Sets

(2009) Erin W. Chambers et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Finding the Homology of Submanifolds with High Confidence from Random Samples

(2008) Partha Niyogi et al.   DISCRETE & COMPUTATIONAL GEOMETRY