16 citations · 30 across the 5 of their papers we have counts for
5 papers
Shape analysis via gradient flows on diffeomorphism groups
Tracey Balehowsky, Carl-Joar Karlsson, Klas Modin
We study a gradient flow on Sobolev diffeomorphisms for the problem of image registration. The energy functional quantifies the effect of transforming a template to a target, while…
Transformation Optics for the Modelling of Waves in a Universe with Nontrivial Topology
Tracey Balehowsky, Matti Lassas, Pekka Pankka +1
We consider how transformation optics and invisibility cloaking can be used to construct models in subsets with a varying metric, where the time-harmonic waves for a…
An Inverse Problem for the Relativistic Boltzmann Equation
Tracey Balehowsky, Antti Kujanpää, Matti Lassas +1
We consider an inverse problem for the Boltzmann equation on a globally hyperbolic Lorentzian spacetime with an unknown metric . We consider measurements done in a neigh…
Determining a Riemannian Metric from Minimal Areas
Spyros Alexakis, Tracey Balehowsky, Adrian Nachman
We prove that if is a topological 3-ball with a -smooth Riemannian metric , and mean-convex boundary then knowledge of least areas circumscribed by sim…
The Ricci flow of the `RP3 geon' and noncompact manifolds with essential minimal spheres
T Balehowsky, E Woolgar
It is well-known that the Ricci flow of a closed 3-manifold containing an essential minimal 2-sphere will fail to exist after a finite time. Conversely, the Ricci flow of a complet…