Almost Sure Frequency Independence of the Dimension of the Spectrum of Sturmian Hamiltonians

作者：Damanik David^*; Gorodetski Anton

来源：Communications in Mathematical Physics, 2015, 337(3): 1241-1253.

DOI：10.1007/s00220-015-2331-y

We consider the spectrum of discrete Schrodinger operators with Sturmian potentials and show that for sufficiently large coupling, its Hausdorff dimension and its upper box counting dimension are the same for Lebesgue almost every value of the frequency.

• 出版日期2015-8