Distributions of Resonances of Supercritical Quasi-Periodic Operators Academic Article

abstract

• Abstract We discover that the distribution of (frequency and phase) resonances plays a role in determining the spectral type of supercritical quasi-periodic Schrdinger operators. In particular, we disprove the 2nd spectral transition line conjecture of Jitomirskaya in the early 1990s.

authors

• Liu, Wencai

published proceedings

• INTERNATIONAL MATHEMATICS RESEARCH NOTICES

author list (cited authors)

• Liu, W.

citation count

• 0

complete list of authors

• Liu, Wencai

publication date

• January 2023

publisher

• Oxford University Press (OUP)  Publisher

published in

• International mathematics research notices  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1093/imrn/rnad006

start page

• 197

end page

• 233

volume

• 2024

issue

• 1

URL

• http://dx.doi.org/10.1093/imrn/rnad006