4 citations · 6 across the 3 of their papers we have counts for
6 papers
Convex Bernstein limits and sharp recovery on expanding intervals
Matthew J. Colbrook, Catherine Drysdale
We determine when approximation by convex polynomials on expanding intervals converges to best approximation on the real line by convex entire functions of exponential type at most…
Crown graphs maximise the representation number of bipartite graphs
Matthew J. Colbrook, Catherine Drysdale
The representation number of a graph is the least positive integer for which its vertices can be arranged in a word, each occurring times, so that two distinct letters alte…
Computation and Verification of Spectra for Non-Hermitian Systems
Catherine Drysdale, Matthew Colbrook, Michael T. M. Woodley
We establish a connection between quantum mechanics and computation, revealing fundamental limitations for algorithms computing spectra, especially in non-Hermitian settings. Intro…
Universal Methods for Nonlinear Spectral Problems
Matthew J. Colbrook, Catherine Drysdale
Nonlinear spectral problems arise across a range of fields, including mechanical vibrations, fluid-solid interactions, and photonic crystals. Discretizing infinite-dimensional nonl…
A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity
Catherine Drysdale, Matthew J. Colbrook
The Hypothalamic-Pituitary-Adrenal (HPA) axis is a major neuroendocrine system, and its dysregulation is implicated in various diseases. This system also presents interesting mathe…
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators
Matthew J. Colbrook, Catherine Drysdale, Andrew Horning
We introduce the Rigged Dynamic Mode Decomposition (Rigged DMD) algorithm, which computes generalized eigenfunction decompositions of Koopman operators. By considering the evolutio…