TY - JOUR
AU - Zhou, Qi
AB - Winding number and density of states are two fundamental physical quantities for non-self-adjoint quasi-periodic Schrödinger operators, which reflect the asymptotic distribution of zeros of the characteristic determinants of the truncated operators under Dirichlet boundary condition, with respect to complexified phase and the energy, respectively. We will prove that the winding number is in fact Avila’s acceleration, it is also closely related to the density of states by a generalized Thouless formula for non-self-adjoint Schrödinger operators and Avila’s global theory.Communicating Editor: Prof Svetlana Jitomirskaya
TI - Winding Number, Density of States, and Acceleration
JO - International Mathematics Research Notices
DO - 10.1093/imrn/rnae018
DA - 2024-02-22
UR - https://www.deepdyve.com/lp/oxford-university-press/winding-number-density-of-states-and-acceleration-XzHkX20mdr
SP - 7972
EP - 7997
VL - 2024
IS - 9
DP - DeepDyve
ER -