Friday, January 12, 2018
4:30 pm
Downs 103

Caltech/UCLA Joint Analysis Seminar

The (Euclidean) Fractal Uncertainty Principle and its proof
Ruixiang Zhang, Mathematics Department, Institute for Advanced Study
Recently Bourgain and Dyatlov proved a Fractal Uncertainty Principle (FUP) which roughly says that: Assuming a function on R R has its Fourier support contained in a fractal set Y Y. Then its L 2 L2 norm on a fractal set X X, whose scale is dual to that of Y Y, cannot be close to its L 2 L2 norm over the whole R R as long as dimX,dimY
Contact Mathematics Department at 626-395-4335
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