4 papers
Discrete signature tensors for persistence landscapes
Vincenzo Galgano, Heather A. Harrington, Daniel Tolosa
Signature tensors of paths are a versatile tool for mathematical data analysis. Recently, they have been applied in the context of vectorisation of persistent homology: after a cho…
Nondimensionalization is more science than art
Richard Tanburn, Danny Hendron, Philip Maini +3
When faced with a mathematical model, often the first step is to reduce the complexity of the model by turning variables and parameters into dimensionless quantities. This process…
A topological approach to the Cahn-Hilliard equation and hyperuniform fields
Abel H. G. Milor, Otto Sumray, Heather A. Harrington +2
Hyperuniform structures are disordered, correlated systems in which density fluctuations are suppressed at large scales. Such a property generalizes the concept of order in pattern…
Absolute concentration robustness: Algebra and geometry
Luis David GarcÃa Puente, Elizabeth Gross, Heather A Harrington +4
Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robu…