This up-to-date treatment of recent developments in geometric inverse problems introduces
graduate students and researchers to an exciting area of research. With an emphasis on the …

We prove the local invertibility, up to potential fields, and stability of the geodesic X-ray
transform on tensor fields of order 1 and 2 near a strictly convex boundary point, on …

For a Riemannian manifold $(M, g) $ with strictly convex boundary $\partial M $, the lens
data consist of the set of lengths of geodesics $\gamma $ with end points on $\partial M …

4 Integral geometry on manifolds with boundary and applications Page 1 Joonas Ilmavirta
and François Monard 4 Integral geometry on manifolds with boundary and applications …

Consider a compact Riemannian manifold of dimension $\geq 3$ with strictly convex
boundary, such that the manifold admits a strictly convex function. We show that the …

We consider an inverse boundary value problem for a nonlinear elastic wave equation
which was studied in [1]. We show that all the parameters appearing in the equation can be …

We study the geometric Whitney problem on how a Riemannian manifold (M, g) can be
constructed to approximate a metric space (X, d_X)(X, d X). This problem is closely related to …

We survey some results on travel time tomography. The question is whether we can
determine the anisotropic index of refraction of a medium by measuring the travel times of …

In this paper we analyze the local and global boundary rigidity problem for general
Riemannian manifolds with boundary (M,g). We show that the boundary distance function …

We consider an inverse problem arising in nonlinear ultrasound imaging. The propagation
of ultrasound waves is modeled by a quasilinear wave equation. We make measurements at …