A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem
Damanik, David ; Lenz, Daniel
Duke Math. J., Tome 131 (2006) no. 1, p. 95-123 / Harvested from Project Euclid
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This article is concerned with uniform convergence in the multiplicative ergodic theorem on aperiodic subshifts. If such a subshift satisfies a certain condition, originally introduced by Boshernitzan [6], [7], every locally constant ${\rm SL}(2, {\mathbb R})$ -valued cocycle is uniform. As a consequence, the corresponding Schrödinger operators exhibit Cantor spectrum of Lebesgue measure zero
Publié le : 2006-05-15
Classification:  37A30,  47B39 
@article{1145452057,
     author = {Damanik, David and Lenz, Daniel},
     title = {A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 95-123},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1145452057}
}

Damanik, David; Lenz, Daniel. A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem. Duke Math. J., Tome 131 (2006) no. 1, pp.  95-123. http://gdmltest.u-ga.fr/item/1145452057/