Alex Rutar

activity

20232026

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math.CA2026

Attainable forms of lower spectra

Amlan Banaji, Haipeng Chen, Alex Rutar +1

Let $d \in N$ and $φ : (0, 1) \to [0, d]$ . We prove there exists a set $F \subset R^{d}$ whose lower spectrum $dim_{L}^{θ} F$ satisfies $(1-θ)\oper…

math.CA2025

A fractal local smoothing problem for the wave equation

David Beltran, Joris Roos, Alex Rutar +1

For any given set $E \subset [1, 2]$ , we discuss a fractal frequency-localized version of the $L^{p}$ local smoothing estimates for the half-wave propagator with times in $E$ . A conjec…