128 citations · 592 across the 51 of their papers we have counts for
4 papers · 1 filter
Men will stretch out their eyes: Or, What happened to Christopher Wren's inaugural
Robert I McLachlan
A discussion of Christopher Wren's inaugural address of 1657, and how it came to be widely misquoted so as to appear to be referring to the future discovery of exoplanets instead o…
Principal symmetric space analysis
Stephen R Marsland, Robert I McLachlan, Charles Curry
We develop a novel analogue of Euclidean PCA (principal component analysis) for data taking values on a Riemannian symmetric space, using totally geodesic submanifolds as approxima…
The Lie algebra of classical mechanics
Robert I McLachlan, Ander Murua
Classical mechanical systems are defined by their kinetic and potential energies. They generate a Lie algebra under the canonical Poisson bracket. This Lie algebra, which is usuall…
Detection of high codimensional bifurcations in variational PDEs
Lisa Maria Kreusser, Robert I McLachlan, Christian Offen
We derive bifurcation test equations for A-series singularities of nonlinear functionals and, based on these equations, we propose a numerical method for detecting high codimension…