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The Fractal® acoustic barrier
The study of the vibrations in domains with boundaries or interfaces of irregular geometry is a complex mathematical problem, for which many questions are still unsolved. Full article
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Modeling Placental Growth
Early life influences adult diseases. Such serious public health priorities as diabetes, heart disease, breast and prostate cancer, osteoporosis, and depression have all been related by recent medical studies to the development of the fetus. Full article
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Compressed Sensing Algorithms
A breakthrough in the sparse representation of data was made in the Fall of 2004 by David Donoho and by Emmanuel Candes and Terence Tao, in part at IPAM’s “Multiscale Geometry and Analysis" program. Full article
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Dimensionality Reduction for Protein Folding
Twenty years ago, commenting on macromolecular dynamics, Francis Crick wrote that “what seems
to physicists a hopelessly complicated process may have been what Nature found simplest.” Full article
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Better Seismic Imaging
The economic value to the oil industry of 3D seismic imaging is approximately $11 billion annually.
How accurately seismic imaging can be done depends on both the quality of the sensing equipment, but
also very much on the effectiveness of the mathematical algorithms that are used. Full article
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Sparse Representations
What do researchers studying infrared spectroscopy, seismic imaging, error correcting codes, and MRI's
have in common? They all can get better results if they have the right math. Full article
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