@article{hoop_ilmavirta_lassas_saksala_2023, title={Stable reconstruction of simple Riemannian manifolds from unknown interior sources}, volume={39}, ISSN={["1361-6420"]}, DOI={10.1088/1361-6420/ace6c9}, abstractNote={Abstract}, number={9}, journal={INVERSE PROBLEMS}, author={Hoop, Maarten V and Ilmavirta, Joonas and Lassas, Matti and Saksala, Teemu}, year={2023}, month={Sep} }
 @article{ilmavirta_liu_saksala_2023, title={THREE TRAVEL TIME INVERSE PROBLEMS ON SIMPLE RIEMANNIAN MANIFOLDS}, ISSN={["1088-6826"]}, DOI={10.1090/proc/16453}, abstractNote={We provide new proofs based on the Myers–Steenrod theorem to confirm that travel time data, travel time difference data and the broken scattering relations determine a simple Riemannian metric on a disc up to the natural gauge of a boundary fixing diffeomorphism. Our method of the proof leads to a Lipschitz-type stability estimate for the first two data sets in the class of simple metrics.}, journal={PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY}, author={Ilmavirta, Joonas and Liu, Boya and Saksala, Teemu}, year={2023}, month={Jun} }
 @article{pavlechko_saksala_2022, title={UNIQUENESS OF THE PARTIAL TRAVEL TIME REPRESENTATION OF A COMPACT RIEMANNIAN MANIFOLD WITH STRICTLY CONVEX BOUNDARY}, ISSN={["1930-8345"]}, DOI={10.3934/ipi.2022028}, abstractNote={<p style='text-indent:20px;'>In this paper a compact Riemannian manifold with strictly convex boundary is reconstructed from its partial travel time data. This data assumes that an open measurement region on the boundary is given, and that for every point in the manifold, the respective distance function to the points on the measurement region is known. This geometric inverse problem has many connections to seismology, in particular to microseismicity. The reconstruction is based on embedding the manifold in a function space. This requires the differentiation of the distance functions. Therefore this paper also studies some global regularity properties of the distance function on a compact Riemannian manifold with strictly convex boundary.</p>}, journal={INVERSE PROBLEMS AND IMAGING}, author={Pavlechko, Ella and Saksala, Teemu}, year={2022}, month={May} }
 @article{hoop_saksala_uhlmann_zhai_2021, title={GENERIC UNIQUENESS AND STABILITY FOR THE MIXED RAY TRANSFORM}, volume={374}, ISSN={["1088-6850"]}, DOI={10.1090/tran/8342}, abstractNote={We consider the mixed ray transform of tensor fields on a three-dimensional compact simple Riemannian manifold with boundary. We prove the injectivity of the transform, up to natural obstructions, and establish stability estimates for the normal operator on generic three dimensional simple manifold in the case of 

  
    
      1
      +
      1
    
    1+1
  

 and 

  
    
      2
      +
      2
    
    2+2
  

 tensors fields.}, number={9}, journal={TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY}, author={Hoop, Maarten V and Saksala, Teemu and Uhlmann, Gunther and Zhai, Jian}, year={2021}, month={Sep}, pages={6085–6144} }
 @article{iversen_ursin_saksala_ilmavirta_hoop_2021, title={Higher-order Hamilton-Jacobi perturbation theory for anisotropic heterogeneous media: dynamic ray tracing in ray-centred coordinates}, volume={226}, ISSN={["1365-246X"]}, DOI={10.1093/gji/ggab152}, abstractNote={SUMMARY}, number={2}, journal={GEOPHYSICAL JOURNAL INTERNATIONAL}, author={Iversen, Einar and Ursin, Bjorn and Saksala, Teemu and Ilmavirta, Joonas and Hoop, Maarten V}, year={2021}, month={Aug}, pages={1262–1307} }
 @article{iversen_ursin_saksala_ilmavirta_hoop_2021, title={Higher-order Hamilton-Jacobi perturbation theory for anisotropic heterogeneous media: transformation between Cartesian and ray-centred coordinates}, volume={226}, ISSN={["1365-246X"]}, DOI={10.1093/gji/ggab151}, abstractNote={SUMMARY}, number={2}, journal={GEOPHYSICAL JOURNAL INTERNATIONAL}, author={Iversen, Einar and Ursin, Bjorn and Saksala, Teemu and Ilmavirta, Joonas and Hoop, Maarten V.}, year={2021}, month={Aug}, pages={893–927} }