Abstract
It is shown that for arbitrary n, there exists a trace map for any n-letter substitutional sequence. Trace maps are explicitly obtained for the well-known circle and Rudin-Shapiro sequences which can be defined by means of substitution rules on three and four letters, respectively. The properties of the two trace maps and their consequences for various spectral properties are briefly discussed.
- Received 26 March 1990
DOI:https://doi.org/10.1103/PhysRevB.42.1062
©1990 American Physical Society
