23 citations · 91 across the 27 of their papers we have counts for
32 papers
Foundations of Differential Calculus for modules over posets
Jacek Brodzki, Ran Levi, Henri Riihimäki
Let be a field and let be a small category. A -linear representation of , or a -module, is a functor from to the category of finite dimensional vector spaces…
Topological learning for the classification of disorder: an application to the design of metasurfaces
Tristan Madeleine, Nina Podoliak, Oleksandr Buchnev +4
Structural disorder can improve the optical properties of metasurfaces, whether it is emerging from some large-scale fabrication methods, or explicitly designed and built lithograp…
Structural heterogeneity: a topological characteristic to track the time evolution of soft matter systems
Ingrid Membrillo Solis, Tetiana Orlova, Karolina Bednarska +5
We introduce structural heterogeneity, a new topological characteristic for semi-ordered materials that captures their degree of organisation at a mesoscopic level and tracks their…
On the complexity of zero-dimensional multiparameter persistence
Jacek Brodzki, Matthew Burfitt, Mariam Pirashvili
Multiparameter persistence is a natural extension of the well-known persistent homology, which has attracted a lot of interest. However, there are major theoretical obstacles preve…
On the Baum-Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces
Jacek Brodzki, Erik Guentner, Nigel Higson +1
We give a new proof of the Baum--Connes conjecture with coefficients for any second countable, locally compact topological group that acts properly and cocompactly on a finite-dime…
Topology and geometry of molecular conformational spaces and energy landscapes
Ingrid Membrillo-Solis, Mariam Pirashvili, Lee Steinberg +2
Understanding the geometry and topology of configuration or conformational spaces of molecules has relevant applications in chemistry and biology such as the proteins folding probl…