This paper investigates the automated detection of a patientâ€™s breathing rate and heart rate from their skin conductivity as well as sleep stage scoring and breathing event detection from their EEG.â€¦ (More)

We compute the automorphism groups of the Dolbeault, de Rham and Betti moduli spaces for the multiplicative group Câˆ— associated to a compact connected Riemann surface.

We show that the moduli space of deformations of a compact coassociative submanifold L has a natural local embedding as a submanifold of H(L,R). We show that a G2-manifold with a T -action ofâ€¦ (More)

Given an abelian category A with enough injectives we show that a short exact sequence of chain complexes of objects in A gives rise to a short exact sequence of Cartan-Eilenberg resolutions. Usingâ€¦ (More)

This project will study the concept of chaos from a mathematical viewpoint. Qualities which characterise chaos (e.g., sensitive dependence on initial conditions, presence of periodic orbits of allâ€¦ (More)

We construct the moduli space of contact instantons, an analogue of Yang-Mills instantons defined for contact metric 5-manifolds and initiate the study of their structure. In the K-contact case weâ€¦ (More)