Finite sections of the Fibonacci Hamiltonian

27 Nov 2017  ·  Lindner Marko, Söding Hagen ·

We study finite but growing principal square submatrices $A_n$ of the one- or two-sided infinite Fibonacci Hamiltonian $A$. Our results show that such a sequence $(A_n)$, no matter how the points of truncation are chosen, is always stable -- implying that $A_n$ is invertible for sufficiently large $n$ and $A_n^{-1}\to A^{-1}$ pointwise...

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Mathematical Physics Dynamical Systems Mathematical Physics Numerical Analysis