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School of Mathematics

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Multiscale and stochastic methods for inverse source problems and signal analysis

2014-09-30 , Zhou, Haomin

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Variational problems and dynamics

2013-05 , Loss, Michael

The 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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Information inequalities and combinatorial applications

2011-08-14 , Tetali, Prasad

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National Science Foundation mathematical sciences postdoctoral fellowship

2011-07-01 , Lacey, Michael T.

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Mathematical aspects of aperiodic solids

2013-09 , Bellissard, Jean

The 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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Collaborative research: statistical interference based on jackknife empirical likelihood methods

2012-01-01 , Peng, Liang

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Isentropic Euler equations

2011-07-24 , Westdickenberg, Michael

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Extremal problems in combinatorics and their applications

2013-06 , Tetali, Prasad

The 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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Algebra and topology of the Johnson filtration

2011-11 , Margalit, Dan

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Slow motion, rare events, and sharp bounds in high-dimensional systems

2011-07-01 , Westdickenberg, Maria G.

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