4 papers · 1 filter
(Not) hearing where certain triangular drums are struck
Tyler Dixon, Alif Miah, Nikita Safronov +3
We investigate whether or not one can hear at what point (up to symmetry) a drum is struck for some special planar triangles. We prove that one can hear where the equilateral and i…
High-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy
A. Iosevich, A. Vagharshakyan, E. Wyman
We study worst-case signal compression under an energy constraint, with coordinate-dependent quantization precisions. The compression problem is reduced to counting lattic…
Spectral synthesis on Riemannian manifolds
A. Iosevich, A. Mayeli, E. Wyman
We study spectral synthesis for measures supported on thin subsets of compact Riemannian manifolds. We prove that under natural non-concentration conditions, such measures admit qu…
Polygons and multi-product of eigenfunctions
Emmett L. Wyman, Yakun Xi, Yi Zhang
Let be a compact Riemannian manifold without boundary, with -normalized Laplace-Beltrami eigenfunctions , which satisfy . We study the fol…