Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896940 | Journal of Number Theory | 2018 | 27 Pages |
Abstract
Coding prescriptions are combinatorial objects linked to a substitution, that is a morphism of the free monoid. Originally they have been introduced in order to code the induced symbolic dynamical system. In the present article we are interested in coding prescriptions of compositions and powers of substitutions. This will provide a very general framework for representing integers. We will study the properties and find several relations with well-known systems of integer numeration.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Paul Surer,