45 citations · 238 across the 51 of their papers we have counts for
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Breaking the conformal freedom of spacetime with supernova neutrino imaging
Joonas Ilmavirta, Gunther Uhlmann
It is known that a geometric measurement of the light cones of supernovae determines the conformal class of the visible part of the spacetime. The conformal factor is physically me…
Pestov identities and X-ray tomography on manifolds of low regularity
Joonas Ilmavirta, Antti Kykkänen
We prove that the geodesic X-ray transform is injective on scalar functions and (solenoidally) on one-forms on simple Riemannian manifolds with . In addition…
Partial data problems in scalar and vector field tomography
Joonas Ilmavirta, Keijo Mönkkönen
We prove that if is some constant coefficient partial differential operator and is a scalar field such that vanishes in a given open set, then the integrals of $…
Stable reconstruction of simple Riemannian manifolds from unknown interior sources
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas +1
Consider the geometric inverse problem: There is a set of delta-sources in spacetime that emit waves travelling at unit speed. If we know all the arrival times at the boundary cyli…
Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity
Maarten V. de Hoop, Joonas Ilmavirta, Matti Lassas
Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, lea…