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Publications of Matti Lassas (ordered by topic)

Here is the list of my publications. I am very willing (of course) to send also paper copies of them to anyone interested. WARNING: The preprints of the papers may differ from the published versions of the articles.

Monographs and monograph dissertation

  1. A. Katchalov, Y. Kurylev, M. Lassas: Inverse Boundary Spectral Problems, Monographs and Surveys in Pure and Applied Mathematics 123, Chapman Hall/CRC-press, 2001, xi+290 pp.

  2. M. Lassas: Non-selfadjoint inverse spectral problems and their applications to random bodies. Annales Academiae Scientiarum Fennicae. Mathematica. Dissertationes 103 (1995), 108 p.

Papers by topic

Invisibility cloaking and transformation optics. There is a short overview on the results.

  1. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Cloaking vs. shielding in transformation optics. Submitted, preprint

  2. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Approximate quantum and acoustic cloaking. Submitted. preprint.

  3. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Cloaking Devices, Electromagnetic Wormholes and Transformation Optics. SIAM Review 51 (2009), 3-33.

  4. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Invisibility. In Current Events Bulletin of American Mathematical Society. January 8, 2008 (San Diego, California), 22 pp. downloadable copy

  5. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Invisibility and Inverse Problems. Bulletin of the American Mathematical Society 46 (2009), 55-97. preprint.

  6. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Approximate quantum cloaking and almost trapped states. Physical Review Letters 101, 220404 (2008). preprint.

  7. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Isotropic transformation optics: approximate acoustic and quantum cloaking. New Journal of Physics 10 (2008) 115024 (28pp) article.

  8. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Electromagnetic wormholes via handlebody constructions. Communications in Mathematical Physics 281 (2008), 369-385. article, preprint.

  9. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Inverse problems, invisibility, and artificial wormholes. Journal of Physics: Conference Series 124 (2008), 012005 (23pp) Proceedings of AIP 2007 First International Congress of IPIA. article

  10. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Improvement of cylindrical cloaking with the SHS lining. Optics Express 15 (2007), 12717-12734. preprint, article.

  11. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Electromagnetic wormholes and virtual magnetic monopoles from metamaterials. Physical Review Letters 99, 183901 (2007) preprint, article in PRL. The copy of the article has appeared also in Virtual Journal of Nanoscale Science and Technology 16 (2007), Issue 20, article in VJNST.

  12. A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann: Full-wave invisibility of active devices at all frequencies. Communications in Mathematical Physics 275 (2007), 749-789. preprint.

  13. A. Greenleaf, M. Lassas, G. Uhlmann: On nonuniqueness for Calderon's inverse problem, Mathematical Research Letters 10 (2003), no. 5-6, 685-693. pdf ps

  14. A. Greenleaf, M. Lassas, G. Uhlmann: Anisotropic conductivities that cannot detected in EIT. Physiological Measurement (special issue on Impedance Tomography), 24 (2003), pp. 413-420. pdf ps

Inverse problems for partial differential operators using invariant methods and inverse problems in geometry
  1. H. Isozaki, Y. Kurylev, M. Lassas: Forward and Inverse scattering on manifolds with asymptotically cylindrical ends. To appear in Journal of Functional Analysis. preprint.

  2. Y. Kurylev, M. Lassas, G. Uhlmann: Rigidity of broken geodesic flow and inverse problems. To appear in American Journal of Mathematics. preprint.

  3. Y. Kurylev, M. Lassas: Inverse Problems and Index Formulae for Dirac Operators. Advances in Mathematics 221 (2009), 170-216. preprint.

  4. K. Krupchyk, Y. Kurylev, M. Lassas: Inverse spectral problems on a closed manifold. Journal de Mathematique Pures et Appliquees 90 (2008), Issue 1, 42-59. preprint, article.

  5. A. Katsuda, Y. Kurylev, M. Lassas: Stability of boundary distance representation and reconstruction of Riemannian manifolds, Inverse Problems and Imaging 1 (2007), 135-157. pdf

  6. H. Isozaki, Y. Kurylev, M. Lassas: Inverse Scattering for Waveguides. Seminaire de Theorie Spectrale et Geometrie, 25 (2006-2007), 71-84.

  7. Y. Kurylev, M. Lassas, E. Somersalo: Maxwell's equations with a polarization independent wave velocity: Direct and inverse problems, Journal de Mathematique Pures et Appliquees 86 (2006), no. 3, 237-270. pdf

  8. Y. Kurylev, M. Lassas: Multidimensional Gel'fand Inverse Boundary Spectral Problem: Uniqueness and Stability, CUBO Mathematical Journal 8 (2006), no. 1, 41-59. pdf

  9. Y. Kyrylev, M. Lassas: A dynamical inverse problem for Dirac equation, Seminar Notes of Mathmatical Sciences 8 (2005), 35-44, special issue on Topics related with mathmatical physics and their analytical methods (Ed. Hideo Soga) Ibaraki University, Japan.

  10. Y. Kurylev, M. Lassas, R. Weder: Multidimensional Borg-Levinson theorem, Inverse Problems 21 (2005), 1685-1697. pdf

  11. M. Anderson, A. Katsuda, Y. Kurylev, M. Lassas, M. Taylor: Boundary regularity for the Ricci equation, Geometric Convergence, and Gel'fand's Inverse Boundary Problem, Inventiones Mathematicae 158 (2004), 261-321 preprint

  12. A. Katchalov, Y. Kurylev, M. Lassas, N. Mandache: Equivalence of time-domain inverse problems and boundary spectral problem, Inverse problems 20 (2004), 419-436. preprint

  13. Y. Kurylev, M. Lassas, E. Somersalo: Focusing waves in electromagnetic inverse problems, Contemporary Mathematics. 348 (2004) (Inverse problems and spectral theory), 11-22, Amer. Math. Soc. pdf ps

  14. M. Lassas, V. Sharafutdinov, G. Uhlmann: Semiglobal boundary rigidity for Riemannian metric, Mathematische Annalen 325 (2003), no. 4, 767-793. pdf ps

  15. M. Anderson, A. Katsuda, Y. Kurylev, M. Lassas, M. Taylor: Metric tensor estimates, geometric convergence, and inverse boundary problems, Electronic Research Announcements of AMS. 9 (2003), 69-79. pdf ps

  16. M. Lassas, M. Taylor, G. Uhlmann: The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary, Communications in Analysis and Geometry 11 (2003), 207-222. pdf ps

  17. A. Katchalov, Y. Kurylev, M. Lassas Energy measurements and equivalence of boundary data for inverse problems on non-compact manifolds. IMA volumes in Mathematics and Applications (Springer Verlag) "Geometric Methods in Inverse Problems and PDE Control" Ed. C. Croke, I. Lasiecka, G. Uhlmann, M. Vogelius, 2004, pp. 183-214. pdf

  18. A. Katsuda, Y. Kurylev, M. Lassas: Stability and Reconstruction in Gel'fand Inverse Boundary Spectral Problem. New analytic and geometric methods in inverse problems. (Ed. K. Bingham, Y. Kurylev, and E. Somersalo), 309-320, Springer-Verlag, 2003. preprint

  19. A. Katchalov, M. Lassas: Gaussian beams and inverse boundary spectral problems, New analytic and geometric methods in inverse problems. (Ed. K. Bingham, Y. Kurylev, and E. Somersalo), 127-151, Springer-Verlag, 2003. pdf ps

  20. Y. Kurylev, M. Lassas: Dynamical inverse problem for a hyperbolic equation and continuation of data, Proceedings of the Royal Society of Edinburgh. Sect. A. Mathematics 132 (2002), no 4, 931-949. pdf ps

  21. Y. Kurylev, M. Lassas, E. Somersalo: Reconstruction of a manifold from electromagnetic boundary measurements. Contemporary Mathematics. 333 (2002), (Inverse Problems: Theory and Applications. Ed. G. Alessandrini, G. Uhlmann), 147-162, Amer. Math. Soc.

  22. M. Lassas, G. Uhlmann: Determining Riemannian manifold from boundary measurements. Annales Scientifiques de l'Ecole Normale Superieure. (4) 34 (2001), no. 5, 771-787. pdf ps

  23. Y. Kurylev, M. Lassas: Gelf'and Inverse Problem for a Quadratic Operator Pensil. Journal of Functional Analysis, 176 (2000), 247-263. pdf ps

  24. Y. Kyrylev, M. Lassas: Hyperbolic inverse problem with data on a part of the boundary. AMS/IP Stud. Adv. Math. 16 (2000), 259-272, Amer. Math. Soc., Proceedings of Differential equations and mathematical physics (Birmingham, AL, 1999) pdf ps

  25. M. Lassas: The inverse boundary spectral problem for a hyperbolic equation with first order perturbation. Applicable Analysis 70 (1999), 219-231. pdf ps

  26. Y. Kurylev, M. Lassas: Abel-Lidskii basis in non-selfadjoint inverse boundary problem. Zap. Nauchn. semin. POMI, 250 (1998), 161-191 and Mat. Vopr. Teor. Rasprostr. 27, 161-190; Translation in Journal of Mathematical Sciences (New York) 102 (2000), no. 4, 4237-4257.

  27. Y. Kurylev, M. Lassas: The multidimensional Gel'fand inverse problem for non-selfadjoint operators. Inverse Problems 13 (1997), 1495-1501.

Inverse problems for elliptic differential equations
  1. K. Knudsen, M. Lassas, J. Mueller, S. Siltanen: Regularized D-bar method for the inverse conductivity problem. To appear in Inverse Problems and Imaging. preprint.

  2. V. Kolehmainen, M. Lassas, P. Ola: Electrical Impedance Tomography Problem with Inaccurately Known Boundary and Contact Impedances. IEEE Transactions on Medical Imaging. 27 (2008), 1404-1414. article.

  3. K. Knudsen, M. Lassas, J. Mueller, S. Siltanen: Reconstructions of Piecewise Constant Conductivities by the D-bar Method for Electrical Impedance Tomography. Journal of Physics: Conference Series 124 (2008), 012029 (9pp). Proceedings of AIP 2007 First International Congress of IPIA. article

  4. V. Kolehmainen, M. Lassas, P. Ola: The inverse conductivity problem with an imperfectly known boundary in three dimensions. SIAM Journal on Applied Mathematics 67 (2007), 1440-1452. preprint.

  5. K. Knudsen, J. Mueller, M. Lassas, S. Siltanen: D-bar method for Electrical Impedance Tomography with discontinuous coefficients. SIAM Journal on Applied Mathematics 67 (2007), 893-913. pdf

  6. V. Kolehmainen, M. Lassas, Petri Ola: Calderon's inverse problem with an imperfectly known boundary in two and three dimensions, Proceedings of Inverse Problems in Applied Sciences, Hokkaido 2006. Journal of Physics: Conference Series 73 (2007), 012002, 10 pp., Institute of Physics Electronic Journals.

  7. V. Kolehmainen, M. Lassas, Petri Ola: Electrical impedance tomography problem with inaccurately known boundary and contact impedances. Proceedings of ISBI 2006: IEEE 2006 International Symposium on Biomedical Imaging. Biomedical Imaging: Nano to Macro, 2006. 3rd IEEE International Symposium (2006), p. 1124- 1127.

  8. V. Kolehmainen, M. Lassas, P. Ola: Inverse conductivity problem with an imperfectly known boundary, SIAM Journal on Applied Mathematics 21 (2005), 365-383. pdf

  9. K. Astala, M. Lassas, L. Paivarinta: Calderon's inverse problem for anisotropic conductivity in the plane, Communications in Partial Differential Equations 30 (2005), no. 1-3, 207-224. preprint

  10. A. Greenleaf, M. Lassas, G. Uhlmann:The Calderon problem for conormal potentials, I: Global uniqueness and reconstruction, Communications on Pure and Applied Mathematics 56 (2003), no. 3, 328-352. pdf ps

  11. M. Lassas, M. Cheney, G. Uhlmann: Uniqueness for a wave propagation inverse problem in a halfspace. Inverse Problems 4 (1998), 679-684. pdf ps

  12. M. Lassas: Impedance imaging problem as a low frequency limit. Inverse Problems 13 (1997), 1503-1518

  13. M. Lassas: Inverse boundary spectral problem for non-selfadjoint Maxwell's equations with incomplete data. Communications in Partial Differential Equations 23 (1998), 629-648.
Inverse problems for waves and time reversal
  1. M. Dahl, A. Kirpichnikova, M. Lassas: Focusing waves in unknown media by modified time reversal iteration. SIAM Journal on Control and Optimization 48 (2009), Issue 2, 839-858. preprint.

  2. K. Bingham, Y. Kurylev, M. Lassas, S. Siltanen: Iterative time reversal control for inverse problems. Inverse Problems and Imaging 2 (2008), 63-81. pdf.

  3. M. Cheney, D. Isaacson, M. Lassas : Optimal Acoustic Measurements, Ultrawideband Short-Pulse Electromagnetics 5. (Ed. by P.D. Smith and S.R. Cloude), 599-603, Springer-Verlag, 2002. pdf

  4. M. Cheney, D. Isaacson, M. Lassas: Optimal acoustic measurements, SIAM Journal on Applied Mathematics 61 (2001), 1628-1647. pdf ps

Inverse problems for equations with random coefficients
  1. M. Lassas, L. Paivarinta, E. Saksman: Inverse scattering problem for a two dimensional random potential. Communications in Mathematical Physics 279 (2008), 669-703. preprint, article.

  2. M. Lassas, L. Paivarinta, E. Saksman: Inverse problem for a random potential, Contemporary Mathematics. 362 (2004) (Partial Differential Equations, Inverse Problems, and Non-Linear Analysis at Santiago de Chile 2003), 277-288, Amer. Math. Soc. pdf ps

Bayesian inverse problems
  1. N. Hyvonen, M. Kalke, M. Lassas, H. Setala and S. Siltanen, Three-dimensional X-ray imaging using hybrid data collected with a digital panoramic device. Submitted, preprint.

  2. M. Lassas, S. Saksman, S. Siltanen: Discretization invariant Bayesian inversion and Besov space priors. Inverse Problems and Imaging 3 (2009), 87-122. preprint.

  3. S. Vanska, M. Lassas, S. Siltanen S: Statistical X-ray tomography using empirical Besov priors International Journal of Tomography and Statistics 30 (2009), 3-32 preprint.

  4. T. Helin, M. Lassas: Bayesian signal restoration and Mumford-Shah functional, Proc. Appl. Math. Mech. 7 (2008), 2080013-2080014. Special issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) article

  5. V. Kolehmainen, A. Vanne, S., S. Jarvenpaa, J. Kaipio, M. Lassas, M. Kalke: Bayesian Inversion Method for 3-D Dental X-ray Imaging. Elektrotechnik und Informationstechnik (124) 2007, 248-253. preprint.

  6. V. Kolehmainen, A. Vanne, S. Siltanen, S. Jarvenpaa. J. Kaipio, M. Lassas, M. Kalke : Parallelized Bayesian inversion for three dimensional dental x-ray imaging. IEEE Transactions on Medical Imaging 25 (2006), 218-228. preprint.

  7. M. Rantala, S. Vanska, S. Jarvenpaa, M. Kalke, M. Lassas, J. Moberg, S. Siltanen: Wavelet-based reconstruction for limited angle X-ray tomography. IEEE Transactions on Medical Imaging 25 (2006), 210-217. preprint.

  8. M. Lassas, S. Siltanen: Can one use total variation prior for edge preserving Bayesian inversion, Inverse Problems 20 (2004), 1537-1564. pdf

  9. S. Siltanen, V. Kolehmainen, S. Jarvenpaa, J. Kaipio, P. Koistinen, M. Lassas , J. Pirttila, E. Somersalo: Statistical inversion for X-ray tomography with few radiographs I: General theory. Physics in Medicine and Biology 48 (2003) 1437-1463. pdf

  10. V. Kolehmainen, S. Siltanen, S. Jarvenpaa, J. Kaipio, P. Koistinen, M. Lassas, J. Pirttila, E. Somersalo: Statistical inversion for X-ray tomography with few radiographs II: Applications to dental radiology, Physics in Medicine and Biology 48 (2003) 1465-1490. pdf

Absorbing boundary conditions
  1. M. Lassas, J. Liukkonen, E. Somersalo: Complex Riemannian metric and absorbing boundary condition, Journal de Mathematique Pures et Appliquees (9) 80 (2001), no. 7, 739-768. pdf ps

  2. M. Lassas, E. Somersalo: Analysis of the PML equations in general convex geometry. Proceedings of the Royal Society of Edinburgh. Sect. A. Mathematics 131 (2001), no. 5, 1183-1207 pdf ps

  3. M. Lassas, E. Somersalo: On the existence and the convergence of the solution of the PML equations. Computing 60 (1998), 229-241 pdf ps

Other papers
  1. V. Kolehmainen, M. Lassas, S. Siltanen: Limited data X-ray tomography using nonlinear evolution equations. The SIAM Journal on Scientific Computing 30 (2008), 1413-1429. preprint, article

  2. M. Lassas, J. Mueller, S. Siltanen: Mapping properties of the nonlinear Fourier transform in dimension two. Communications in Partial Differential Equations 32 (2007), 591-610. pdf

  3. M. Lassas, M. Mataich, S. Siltanen, E. Somersalo: Wind velocity observation with a CW Doppler radar, IEEE Transactions on Remote Sensing 40 (2002), 2427-2438. pdf ps

  4. M. Lassas: The essential spectrum of non-selfadjoint Maxwell operator in a bounded domain. Journal of Mathematical Analysis and Applications 224 (1998), 201-217.

Patents

  1. US Patent 7,269,241 - Method and arrangement for medical x-ray imaging and reconstruction from sparse data. S. Siltanen, E. Somersalo, V. Kolehmainen, M. Lassas, J. Kaipio. Also published as WO2004019782, AU2003255550, FI116750B, DE10393159T.

  2. US Patent 7,215,730 - Method and arrangement for multiresolutive reconstruction for medical x-ray imaging. M. Kalke, S. Siltanen, S. Vanska, M. Lassas, M. Rantala. Also published as EP1677256, JP2006187608.

  3. US Patent 7,274,766 - Method and arrangement for three-dimensional medical x-ray imaging J. Kaipio, S. Siltanen, M. Kalke, V. Kolehmainen, M. Lassas. Also published as EP1677255, JP2006187607.

Other works

  1. M. Lassas, R. Lehtinen, J. Saramaki, S. Siltanen (edit.): Who needs MATH? (in Finnish and in Swedish), a booklet popularizing mathemathics for schools students, three prints of 60 000 copies.

  2. M. Lassas: From a coffee cup to surgery - studying applications of mathematics (In Finnish), Arkhimedes 5 (2004), 20-24. pdf

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Matti Lassas <Matti.Lassasathut.fi.fi>
4.6.2008