2 papers
math.SP2025
Ambarzumian-type mixed inverse spectral problems for Jacobi matrices
Ethan Luo, Steven Ning, Tarun Rapaka +1
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 bu…
math.SP2025
Extrema of spectral band functions of two dimensional discrete periodic Schrödinger operators
Matthew Faust, Wencai Liu, Ethan Luo
We use Bézout's theorem and Bernstein-Khovanskii-Kushnirenko theorem to analyze the level sets of the extrema of the spectral band functions of discrete periodic Schrödinger oper…