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100 results
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ItemMultiscale and stochastic methods for inverse source problems and signal analysis(Georgia Institute of Technology, 2014-09-30) Zhou, Haomin
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ItemMathematical aspects of aperiodic solids(Georgia Institute of Technology, 2013-09) Bellissard, JeanThe ultimate goal of the program is to develop a mathematical theory liable to describe the physical properties of all aperiodic solids and perhaps liquids as well. Are involved the electronic properties, the electronic transport, the diffraction and propagation of various waves degrees of freedom (phonons, spinon), the description of the structure of the solid, of the atomic movement, the passage from a microscopic to a macroscopic description of mechanical properties (elasticity, plasticity, fractures, viscosity for liquids).
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ItemExtremal problems in combinatorics and their applications(Georgia Institute of Technology, 2013-06) Tetali, PrasadThe goals of this project were to study several fundamental problems in extremal combinatorics, many of them motivated by problems in theoretical computer science.
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ItemVariational problems and dynamics(Georgia Institute of Technology, 2013-05) Loss, MichaelThe work performed under this grant can be divided into three areas, kinetic theory, random Schrödinger operators and sharp functional inequalities. The scientific objective of the grant was three-fold. One goal was to finish a program concerning approach to equilibrium for a model of colliding hard spheres. The second goal was to push ahead on the problem of proving localization for the random displacement model - a problem that has been open for 20 years. The third part consisted in establishing some classical Sobolev type inequalities for fractional derivatives.
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ItemCollaborative research: statistical interference based on jackknife empirical likelihood methods(Georgia Institute of Technology, 2012-01-01) Peng, Liang
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ItemAlgebra and topology of the Johnson filtration(Georgia Institute of Technology, 2011-11) Margalit, Dan
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ItemInformation inequalities and combinatorial applications(Georgia Institute of Technology, 2011-08-14) Tetali, Prasad
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ItemIsentropic Euler equations(Georgia Institute of Technology, 2011-07-24) Westdickenberg, Michael
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ItemSlow motion, rare events, and sharp bounds in high-dimensional systems(Georgia Institute of Technology, 2011-07-01) Westdickenberg, Maria G.
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ItemNational Science Foundation mathematical sciences postdoctoral fellowship(Georgia Institute of Technology, 2011-07-01) Lacey, Michael T.