User:DVD206/Bibliography

2. Astala, K. and P¨aiv¨arinta, L. "Calder´on’s inverse conductivity problem in the plane", http://annals.math.princeton.edu/wp-content/uploads/annals-v163-n1-p05.pdf
3. Biesel, O. D., Ingerman D. V., Morrow J. A. and Shore W. T. "Layered Networks, the Discrete Laplacian, and a Continued Fraction Identity", http://www.math.washington.edu/~reu/papers/2008/william/layered.pdf
4. Borcea, L. , Druskin, V. and Knizhnerman, L. "On the continuum limit of a discrete inverse spectral problem on optimal finite difference grids", Communications on Pure and Applied Mathematics, Vol. 000, 0001–0048 (2000)
5. Borcea, L., Druskin, V., Vasquez, G. F. and Mamonov, A. V. "Resistor network approaches to electrical impedance tomography", http://arxiv.org/abs/1107.0343
6. Cannon, J. W. "The combinatorial Riemann mapping theorem", http://www.springerlink.com/content/9w0608p039151254/
7. Curtis, E. B. and Morrow, J. A. "Inverse Problems for Electrical Networks", http://books.google.com/books/about/Inverse_Problems_for_Electrical_Networks.html?id=gLnohh95zFIC
8. Curtis, E. B., Ingerman, D. V. and Morrow, J. A. "Circular Planar Graphs and Resistor Networks", http://www.math.washington.edu/~morrow/papers/cim.pdf
9. De Verdière, Yves Colin, "Réseaux électriques planaires", Prépublications de l'Institut Fourier 225 (1992), 1-20
10. De Verdière, Yves Colin, "Reseaux electrique planaires I", http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.224.133
11. Doyle, P. G. and Snell, L. J. "Random walks and electric networks", http://www.cse.buffalo.edu/~hungngo/classes/2005/Expanders/papers/general/randomWalk.pdf
12. Druskin, V., Ingerman D. V. and Knizhnerman, L. "Optimal finite difference grids and rational approximations of the square root I. Elliptic problems", http://onlinelibrary.wiley.com/doi/10.1002/1097-0312(200008)53:8%3C1039::AID-CPA4%3E3.0.CO;2-I/abstract
13. Dym, H. and McKean, H. P. "Gaussian Processes, Function Theory, and the Inverse Spectral Problem", http://books.google.com/books?hl=en&lr=&id=xM3PStPHY-sC&oi=fnd&pg=PP1&dq=dym+mckean+gaussian+processes&ots=kelhcUSfKe&sig=8b4zV0_6tLCrRRzLu5ZMzjNN6jU#v=onepage&q=dym%20mckean%20gaussian%20processes&f=false
14. Edelman, A. and Strang, G. "Pascal matrices", http://web.mit.edu/18.06/www/pascal-work.pdf
15. Fomin, S. "Loop-erased walks and total positivity", http://arxiv.org/pdf/math.CO/0004083.pdf
16. Gantmacher, F. R. and Krein, M. G. "Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems", Revised Edition, http://www.ams.org/bookstore?fn=20&arg1=diffequ&ikey=CHEL-345-H
17. Gitler, I., de Verdiêre, Yves Colin and Vertigan, D. "Planar electnc networks II", 1994, (preprint), http://citeseerx.ist.psu.edu/showciting?cid=14466349
18. Ingerman, D. V. "The Square of the Dirichlet-to-Neumann map equals minus Laplacian", http://arxiv.org/ftp/arxiv/papers/0806/0806.0653.pdf
19. Ingerman, D. V. "Discrete and continuous inverse boundary problems on a disc", PhD thesis, 1997, http://www.math.washington.edu/~morrow/papers/ingerman.pdf
20. Jones, W. B. and Thron, W. J. "Continued Fractions: Analytic Theory and Applications", http://books.google.com/books?id=Cy2NPwAACAAJ&dq=Jones,+Continued+fractions&source=bl&ots=_qZqYUwb9g&sig=829uHGccJUlhQCum7OD4rsWe0dg&hl=en&sa=X&ei=1alfUO32MoqyiQLWkYHIBA&ved=0CDcQ6AEwAQ
21. Kac, M. "Can one hear the shape of a drum?", American Mathematical Monthly 73 (4, part 2): 1–23, (1966), doi:10.2307/2313748
22. Kac, I. S. and Krein, K. G. ."On the spectral function of the string", AMS Translations, 1974, S. 2, 103, 19-102
23. Karlin, S. "Total positivity", http://books.google.com/books/about/Total_Positivity.html?id=yIarAAAAIAAJ
24. Kohn, R. and Vogelius, M. "Determining conductivity by boundary measurements", Comm. Pure Appl. Math., 37(1984), 289–298, http://onlinelibrary.wiley.com/doi/10.1002/cpa.3160370302/abstract
25. Marshall, D. E. "An elementary proof of the Pick-Nevanlinna interpolation theorem", http://projecteuclid.org/DPubS?verb=Display&version=1.0&service=UI&handle=euclid.mmj/1029001307&page=record
26. Nachman, A. I. "Global uniqueness for a two-dimensional inverse boundary value problem", http://www.jstor.org/discover/10.2307/2118653?uid=3739960&uid=2&uid=4&uid=3739256&sid=21101022816693
27. Petrushev, P. P. and Popov, A. V. "Rational approximation of real functions", 1987, http://books.google.com/books/about/Rational_Approximation_of_Real_Functions.html?id=0up9c_uo2xQC
28. Pinkus, A. "Totally positive matrices", http://www.amazon.com/Totally-Positive-Matrices-Cambridge-Mathematics/dp/0521194083
29. Sylvester, J. and Uhlmann, G. "A global uniqueness theorem for an inverse boundary value problem", Ann. of Math., 125 (1987), 153–169.
30. Uhlmann, G. "Electrical impedance tomography and Calder´on’s problem", http://www.math.washington.edu/~gunther/publications/Papers/calderoniprevised.pdf