Lian Haeming

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math.SP2024

On the Real Eigenvalues of the Non-Hermitian Anderson Model

Lian Haeming

We study the non-Hermitian Anderson model on the ring. We provide the exact rate of decay of the sensitivity of the eigenvalues to the non-Hermiticity parameter $g$ , on the logarit…

math.SP2024

Quasiballistic Transport for Discrete One-Dimensional Quasiperidic Schrödinger Operators

Lian Haeming

We obtain (up to logarithmic scaling) the power-law lower bound $M_{p} (T_{k}) ≳ T_{k}^{(1 - δ) p}$ on a subsequence $T_{k} \to \infty$ , uniformly across $p > 0$ , for discrete…

math.SP2022

On the Bandwidths of Periodic Approximations to Discrete Schrödinger Operators

Lian Haeming

We study how the spectral properties of ergodic Schrödinger operators are reflected in the asymptotic properties of its periodic approximation as the period tends to infinity. The…