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arXiv · 1010.2476

A remark on the trace-map for the Silver mean sequence

Ilmar Gahramanov·Elmar Asgerov
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Abstract

In this work we study the Silver mean sequence based on substitution rules by means of a transfer-matrix approach. Using transfer-matrix method we find a recurrence relation for the traces of general transfer-matrices which characterizes electronic properties of the quasicrystal in question. We also find an invariant of the trace-map.

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Ilmar Gahramanov, Elmar Asgerov. 2012-02-19. A remark on the trace-map for the Silver mean sequence. https://doi.org/10.1142/s0217984913501078

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