Decoupling for fractal sets on the parabola

The partial differential equations and analysis seminar is the research seminar associated with the applied and nonlinear analysis, and the analysis and geometry programs.

schedule Date & time
15 Mar 2022 | 1:30 - 2:30pm
person Speaker


Zane Kun Li (Indiana University, Bloomington)
next_week Event series


contact_support Contact
Contact name
Po-Lam Yung
Contact email

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Abstract: We first discuss the problem of decoupling a Cantor set as a subset of [0, 1]. In certain cases, this problem reduces to a number theory problem about solution counting. We then upgrade this result to decoupling a Cantor set on a parabola. Our result generalizes and improves upon what one would obtain if one directly applied the Bourgain-Demeter decoupling theorem for the parabola due to the sparsity of the Fourier supports we consider. This is joint work with Alan Chang, Jaume de Dios Pont, Rachel Greenfeld, Asgar Jamneshan, and Jose Madrid.

The Zoom link for this talk is available here. If you are not currently affiliated with the ANU, please contact Po-Lam Yung for access.