Upper bounds on the spectral gaps of quasi-periodic Schrdinger operators with Liouville frequencies Institutional Repository Document uri icon

abstract

  • We prove that the size of the spectral gaps of weakly coupled quasi-periodic Schr"odinger operators with Liouville frequencies decays exponentially. As an application, we obtain the homogeneity of the spectrum.

author list (cited authors)

  • Liu, W., & Shi, Y.

citation count

  • 0

complete list of authors

  • Liu, Wencai||Shi, Yunfeng

Book Title

  • arXiv

publication date

  • August 2017