John N. Treuer

collaborators

2 papers

math.SP2024

Sharp decay rate for eigenfunctions of perturbed periodic Schrödinger operators

Wencai Liu, Rodrigo Matos, John N. Treuer

This paper investigates uniqueness results for perturbed periodic Schrödinger operators on $Z^{d}$ . Specifically, we consider operators of the form $H = - Δ + V + v$ , where $Δ…

math.CV2020

Rigidity theorem by the minimal point of the Bergman kernel

Robert Xin Dong, John Treuer

We use the Suita conjecture (now a theorem) to prove that for any domain $Ω \subset C$ its Bergman kernel $K (\cdot, \cdot)$ satisfies $K (z_{0}, z_{0}) = Volume (Ω)^{- 1}$ …