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- W4298025101 abstract "This paper describes the probabilistic behaviour of a random Sturmian word. It performs the probabilistic analysis of the recurrence function which can be viewed as a waiting time to discover all the factors of length $n$ of the Sturmian word. This parameter is central to combinatorics of words. Having fixed a possible length $n$ for the factors, we let $alpha$ to be drawn uniformly from the unit interval $[0,1]$, thus defining a random Sturmian word of slope $alpha$. Thus the waiting time for these factors becomes a random variable, for which we study the limit distribution and the limit density." @default.
- W4298025101 created "2022-10-01" @default.
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- W4298025101 date "2016-10-05" @default.
- W4298025101 modified "2023-09-29" @default.
- W4298025101 title "The recurrence function of a random Sturmian word" @default.
- W4298025101 doi "https://doi.org/10.48550/arxiv.1610.01479" @default.
- W4298025101 hasPublicationYear "2016" @default.
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