24 citations · 58 across the 26 of their papers we have counts for
9 papers · 1 filter
Rigidity of Travelling Times for Strictly Convex Obstacles in Riemannian Manifolds
Tal Gurfinkel, Lyle Noakes, Luchezar Stoyanov
Let and be two disjoint unions of strictly convex obstacles contained within a Riemannian manifold with boundary of dimension . The sets of travelling times $\…
Uniqueness of Obstacles in Riemannian Manifolds from Travelling Times
Tal Gurfinkel, Lyle Noakes, Luchezar Stoyanov
Suppose that and are two disjoint unions of strictly convex obstacles with the same set of travelling times, contained in an -dimensional Riemannian manifold (where…
Recovering Obstacles from their Travelling Times
Tal Gurfinkel, Lyle Noakes, Luchezar Stoyanov
Noakes and Stoyanov (2021) introduced a method of recovering strictly convex planar obstacles from their set of travelling times. We provide an extension of this construction for o…
Travelling Times in Scattering by Obstacles in Curved Space
Tal Gurfinkel, Lyle Noakes, Luchezar Stoyanov
We consider travelling times of billiard trajectories in the exterior of an obstacle K on a two-dimensional Riemannian manifold M. We prove that given two obstacles with almost the…
Sub-Riemannian cubics in SU(2)
Michael Swaddle, Lyle Noakes
Sub-Riemannian cubics are a generalisation of Riemannian cubics to a sub-Riemannian manifold. Cubics are curves which minimise the integral of the norm squared of the covariant acc…
Relative Geodesics in the Special Euclidean Group
Darryl D. Holm, Lyle Noakes, Joris Vankerschaver
We propose a notion of distance between two parametrized planar curves, called their discrepancy, and defined intuitively as the minimal amount of deformation needed to deform the…