21 citations · 74 across the 26 of their papers we have counts for
27 papers
Linear systems, spectral curves and determinants
Gordon Blower, Ian Doust
Let be a continuous time linear system with state space a separable complex Hilbert space , where generates a strongly continuous contraction semigroup $(e^{-tA}…
The algebraic structure of the non-commutative nonlinear Schrodinger and modified Korteweg-de Vries hierarchy
Gordon Blower, Simon J. A. Malham
We prove that each member of the non-commutative nonlinear Schrodinger and modified Korteweg--de Vries hierarchy is a Fredholm Grassmannian flow, and for the given linear dispersio…
Linear systems, Hankel products and the sinh-Gordon equation
Gordon Blower, Ian Doust
Let be a linear system in continuous time with input and output space and state space . The scattering functions det…
Transportation on spheres via an entropy formula
Gordon Blower
The paper proves transportation inequalities for probability measures on spheres for the Wasserstein metrics with respect to cost functions that are powers of the geodesic distance…
Hasimoto frames and the Gibbs measure of periodic nonlinear Schrödinger Equation
Gordon Blower, Azadeh Khaleghi, Moe Kuchemann-Scales
The paper interprets the cubic nonlinear Schrödinger equation as a Hamiltonian system with infinite dimensional phase space. There is a Gibbs measure which is invariant under the f…
Convexity and transport for the isentropic Euler equations on the sphere
Gordon Blower
The paper considers the Euler system of PDE on a smooth compact Riemannian manifold of positive curvature without boundary, and the sphere in particular. The paper…