3 papers
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 , 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 on a subsequence , uniformly across , 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…