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Guillaume Bal

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Guillaume Bal
Associate Professor
206 S.W. Mudd, Mail Code: 4701
New York, NY 10027

Phone: +1 212 854 4731
Email:
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Research specialty

Applied mathematics, wave propagation in random media and applications to time reversal, inverse problems with applications to medical imaging and earth science. Ph.D. University Paris VI, 1997.

  • Partial Differential Equations
  • Propagation of Waves in highly heterogeneous media and Kinetic Models. Applications to Imaging and Time Reversal.
  • Theory of Inverse Problems.
  • Inverse transport theory. Application to Ray Tomography and Optical Tomography
  • Homogenization and Numerical Simulation of Transport Equations
  • Monte Carlo simulations of Transport Equations

Recent Pulications

Homogenization in random media and effective medium theory for high frequency waves, Disc. Cont. Dyn. Syst. B, 8(2), pp. 473-492, 2007

Kinetic Models for Imaging in Random Media (with O. Pinaud), accepted in SIAM Multiscale Model. Simul. , 2007

Transport- and diffusion-based optical tomography in small domains: a comparative study, (with K. Ren and A. Hielscher), Applied Optics, 46(27), pp. 6669-6679, 2007

Inverse source problems in transport equations, (with A. Tamasan), SIAM J. Math. Anal., 39(1), pp. 57-76, 2007

Radiative transfer equations with varying refractive index: a mathematical perspective, J. Opt. Soc. Am. A, 23(7), pp. 1639-1644, 2006