(Georgia Institute of Technology, 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.