arXiv subjects

Ethan Luo

Publications and source records attributed to Ethan Luo.

2 recordsLinked to original sources

arXiv2025

Ambarzumian-type mixed inverse spectral problems for Jacobi matrices

We investigate Ambarzumian-type mixed inverse spectral problems for Jacobi matrices. Specifically, we examine whether the Jacobi matrix can be uniquely determined by knowing all but the first $m$ diagonal entries and a set of $m$ ordered eigenvalues.

math.SP↗

arXiv2025

Extrema of spectral band functions of two dimensional discrete periodic Schr\"odinger operators

We use B\'{e}zout's theorem and Bernstein-Khovanskii-Kushnirenko theorem to analyze the level sets of the extrema of the spectral band functions of discrete periodic Schr\"odinger operators on $\mathbb{Z}^2$. These approaches improve upon previous results of Liu and Filonov-Kachkovskiy.

math.SP↗