4 citations · 4 across the 6 of their papers we have counts for
6 papers
Pattern recognition in complex systems via vector-field representations of spatio-temporal data
Ingrid Amaranta Membrillo Solis, Maria van Rossem, Tristan Madeleine +5
A complex system comprises multiple interacting entities whose interdependencies form a unified whole, exhibiting emergent behaviours not present in individual components. Examples…
Moduli spaces of flat Riemannian metrics on orbifolds
Karla García, Ingrid Amaranta Membrillo Solis, Motiejus Valiunas
We study moduli spaces of flat metrics on closed Riemannian orbifolds admitting such metrics. We show that for such orbifolds , the Teichmüller space of flat metrics $…
Do the Hodge spectra distinguish orbifolds from manifolds? Part 2
Katie Gittins, Carolyn Gordon, Ingrid Membrillo Solis +3
In \cite{GGKM-SSS} we examined the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on -forms by computing the heat…
Basic Metric Geometry of the Bottleneck Distance
Mauricio Che, Fernando Galaz-García, Luis Guijarro +2
Given a metric pair , i.e. a metric space and a distinguished closed set , one may construct in a functorial way a pointed pseudometric space $\mathcal{D}_\…
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…
Do the Hodge spectra distinguish orbifolds from manifolds? Part 1
Katie Gittins, Carolyn Gordon, Magda Khalile +3
We examine the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on -forms by computing the heat invariants associat…