FB 6 Mathematik/Informatik

Institut für Mathematik


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WS 2017/18

20.12.2017 um 17:15 Uhr in Raum 69/125

Marko Lindner (TU Hamburg-Harburg)

Finite Sections of the Fibonacci Hamiltonian

The Fibonacci Hamiltonian is an infinite matrix with three diagonals. It is the standard model for quasicrystals in 1D. The finite section method aims to approximate the inverse of an infinite matrix A by the inverses of growing finite submatrices along the main diagonal of A. We show that this works, with arbitrary cut-off points, for the Fibonacci Hamiltonian A on the axis as well as on the half axis. This is joint work with Hagen Söding (Hamburg).