Pointwise Convergence over Fractals for Dispersive Equations with Homogeneous Symbol
Time: 2022-02-22
Published By: He Liu
Speaker(s): Daniel Eceizabarrena(University of Massachusetts Amherst)
Time: 07:30-09:30 February 24, 2022
Venue: Online
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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