Author

Rahul Sethi

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Preprint Aug 2026

Quantitative Uniqueness and Rough Damping on $\mathbb T^2$

Motivated by a conjecture of Burq and G\'erard, we investigate quantitative uniqueness principles for functions on $\mathbb T^2$ whose Fourier spectra lie in fixed-width annuli. We obtain observability estimates uniform in the radius, under a mild Sobolev regularity condition, and the generalized geometric control cond...

B. Jaye, Rahul Sethi · 0 citations

Preprint Oct 2026

The Kakeya problem for codimension-two planes in $\mathbb{R}^n$

We study the $(n-2)$-plane Kakeya problem in $\mathbb{R}^n$ ($n\geq4$) subject to convex Wolff axioms. In other words, we study finite families of $\delta$-neighborhoods of $(n-2)$-plane segments ($\delta$-flakes) in $\mathbb{R}^n$, with the property that not too many of them can be contained inside a common convex set...

Chun-Kit Lai, Yi-Xuan Pang, Rahul Sethi et al. · 0 citations