Pointwise Convergence over Fractals for Dispersive Equations with Homogeneous Symbol
发布时间：2022年02月22日
浏览次数：4398
发布者: He Liu
主讲人： Daniel Eceizabarrena(University of Massachusetts Amherst)
活动时间： 从 2022-02-24 07:30 到 09:30
场地： 线上
In this talk, we consider pointwise convergence over fractals for dispersive equations with homogeneous symbol.
After introducing the basics of the problem, I will explain how one can generalize Bourgain’s optimal counterexample to the fractal case $\alpha < n$. For that, I will explain and use the Mass Transference Principle, a technique developed in the field of Diophantine approximation, as a tool to compute the Hausdorff dimension of the sets of divergence.
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密码：389020
