Asymptotic orbits of primitive substitutions
نویسندگان
چکیده
A primitive, aperiodic substitution on d letters has at most d asymptotic orbits; this bound is sharp. Since asymptotic arc components in tiling spaces associated with substitutions are in 1-1 correspondence with asymptotic words, this provides a bound for those as
منابع مشابه
Balances for fixed points of primitive substitutions
An in!nite word de!ned over a !nite alphabet A is balanced if for any pair (!;!′) of factors of the same length and for any letter a in the alphabet ‖!|a − |!|a|6 1; where |!|a denotes the number of occurrences of the letter a in the word !. In this paper, we generalize this notion and introduce a measure of balance for an in!nite sequence. In the case of !xed points of primitive substitutions,...
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عنوان ژورنال:
- Theor. Comput. Sci.
دوره 1-3 شماره
صفحات -
تاریخ انتشار 2003