18 citations · 43 across the 5 of their papers we have counts for
5 papers
Event History and Topological Data Analysis
Kathryn Garside, Aida Gjoka, Robin Henderson +2
Persistent homology is used to track the appearance and disappearance of features as we move through a nested sequence of topological spaces. Equating the nested sequence to a filt…
Topological data analysis and diagnostics of compressible MHD turbulence
Irina Makarenko, Paul Bushby, Andrew Fletcher +3
The predictions of mean-field electrodynamics can now be probed using direct numerical simulations of random flows and magnetic fields. When modelling astrophysical MHD, it is impo…
Topological signatures of interstellar magnetic fields - I. Betti numbers and persistence diagrams
Irina Makarenko, Anvar Shukurov, Robin Henderson +3
The interstellar medium (ISM) is a magnetised system in which transonic or supersonic turbulence is driven by supernova explosions. This leads to the production of intermittent, fi…
Statistical Topology and the Random Interstellar Medium
Robin Henderson, Irina Makarenko, Paul Bushby +2
Current astrophysical models of the interstellar medium assume that small scale variation and noise can be modelled as Gaussian random fields or simple transformations thereof, suc…
3D morphology of a random field from its 2D cross-section
Irina Makarenko, Andrew Fletcher, Anvar Shukurov
We show that both aspect ratios of randomly oriented triaxial ellipsoids (representing isosurfaces of an isotropic 3D random field) can be determined from a single 2D cross-section…