3 papers
math.ST2019
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…
math.NA2018
The Magnus expansion and Post-Lie algebras
Charles Curry, Kurusch Ebrahimi-Fard, Brynjulf Owren
We relate the classical and post-Lie Magnus expansions. Intertwining algebraic and geometric arguments allows to placing the classical Magnus expansion in the context of Lie group…
math.CA2018
Planarly branched rough paths and rough differential equations on homogeneous spaces
Charles Curry, Kurusch Ebrahimi-Fard, Dominique Manchon +1
The central aim of this work is to understand rough differential equations on homogeneous spaces. We focus on the formal approach, by giving an explicit expansion of the solution a…