Exact-Dimensional Property of Density of States Measure of Sturm Hamiltonian. (19th March 2017) - Qu, Yanhui
Abstract: For frequency $\alpha$ of bounded type and coupling $\lambda>20$, we show that the density of states measure ${\mathcal N}_{\alpha, \lambda}$ of the related Sturm Hamiltonian is exact upper and lower dimensional, however, in general it is not exact dimensional.