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In the past I have been interested in waves and diffusion in inhomogeneous or random media and in the mathematical analysis of multi-scale phenomena that arise in their study. Applications come from electromagnetic wave propagation in the atmosphere, underwater sound, waves in the lithosphere, diffusion in porous media, etc. I have studied both linear and nonlinear waves and diffusion, in both direct and inverse problems, in imaging in particular. I am now working on assessing multiple scattering effects in imaging and communication systems, including time reversal arrays, and the use of optimization methods in imaging.
Another on-going interest is financial mathematics, the use of asymptotics for stochastic equations in analyzing complex models of financial markets and in data analysis. I am also interested in the modeling and analysis of systemic effects in multi-agent systems and interacting markets.
Another on-going interest is financial mathematics, the use of asymptotics for stochastic equations in analyzing complex models of financial markets and in data analysis. I am also interested in the modeling and analysis of systemic effects in multi-agent systems and interacting markets.
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Proceedings of the National Academy of Sciences of the United States of Americano. 11 (2024): e2314697121-e2314697121
IEEE Transactions on Computational Imaging (2023): 327-334
SSRN Electronic Journalno. 3 (2022): 702-744
2021 IEEE Conference on Antenna Measurements & Applications (CAMA)pp.475-475, (2021)
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