Nonperturbative localization
Jitomirskaya, Svetlana Ya.
arXiv, 0304044 / Harvested from arXiv
Text on arXiv
Study of fine spectral properties of quasiperiodic and similar discrete Schr\"odinger operators involves dealing with problems caused by small denominators, and until recently was only possible using perturbative methods, requiring certain small parameters and complicated KAM-type schemes. We review the recently developed nonperturbative methods for such study which lead to stronger results and are significantly simpler. Numerous applications mainly due to J. Bourgain, M. Goldstein, W. Schlag, and the author are also discussed.
Publié le : 2003-04-28
Classification:  Mathematical Physics,  35, 37, 60, 81 
@article{0304044,
     author = {Jitomirskaya, Svetlana Ya.},
     title = {Nonperturbative localization},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304044}
}

Jitomirskaya, Svetlana Ya. Nonperturbative localization. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304044/