Asymptotic subword complexity of fixed points of group substitutions
نویسندگان
چکیده
منابع مشابه
Asymptotic Subword Complexity
The subword complexity of an infinite word ξ is a function f (ξ, n) returning the number of finite subwords (factors, infixes) of length n of ξ. In the present paper we investigate infinite words for which the set of subwords occurring infinitely often is a regular language. Among these infinite words we characterise those which are eventually recurrent. Furthermore, we derive some results comp...
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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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A review of computational complexity results for approximating fixed points of Lipschitz functions is presented. Univariate and multivariate results are summarized for the second and infinity norm cases as well as the absolute, residual and relative error criteria. Contractive, nonexpansive, directionally nonexpansive, and expansive classes of functions are considered and optimal or nearly opti...
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15 صفحه اولFixed Points , and Complexity Classes
Many models from a variety of areas involve the computation of an equilibrium or fixed point of some kind. Examples include Nash equilibria in games; market equilibria; computing optimal strategies and the values of competitive games (stochastic and other games); stable configurations of neural networks; analysing basic stochastic models for evolution like branching processes and for language l...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2009
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2009.01.025