Distributions of resonances of supercritical quasi-periodic operators Institutional Repository Document uri icon

abstract

  • We discover that the distribution of (frequency and phase) resonances plays a role in determining the spectral type of supercritical quasi-periodic Schr"odinger operators. In particular, we disprove the second spectral transition line conjecture of Jitomirskaya in the early 1990s.

author list (cited authors)

  • Liu, W.

citation count

  • 0

complete list of authors

  • Liu, Wencai

Book Title

  • arXiv

publication date

  • August 2022