155 citations · 446 across the 15 of their papers we have counts for
3 papers · 1 filter
On Approximations of Persistence Diagrams
Jonathan Jaquette, Miroslav Kramár
Biological and physical systems often exhibit distinct structures at different spatial/temporal scales. Persistent homology is an algebraic tool that provides a mathematical framew…
Topological data analysis of contagion maps for examining spreading processes on networks
Dane Taylor, Florian Klimm, Heather A. Harrington +4
Social and biological contagions are influenced by the spatial embeddedness of networks. Historically, many epidemics spread as a wave across part of the Earth's surface; however,…
Evolution of Force Networks in Dense Particulate Media
Miroslav Kramar, Arnaud Goullet, Lou Kondic +1
We introduce novel sets of measures with the goal of describing dynamical properties of force networks in dense particulate systems. The presented approach is based on persistent h…