D. Damanik et al., A palindromic half-line criterion for absence of eigenvalues and applications to substitution Hamiltonians, ANN HENRI P, 2(5), 2001, pp. 927-939
We prove a criterion for absence of decaying solutions on the half-line for
one-dimensional discrete Schrodinger operators. As necessary inputs, we re
quire infinitely many palindromic prefixes and upper and lower bounds for t
he traces of associated transfer matrices. We apply this criterion to Schro
dinger operators with potentials generated by substitutions.