Waiting for ABRACADABRA. Occurrences of Words and Leading Numbers

Emilio De Santis and Fabio Spizzichino
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Emilio De Santis: Sapienza University of Rome, Department of Mathematics
Fabio Spizzichino: Sapienza University of Rome, Department of Mathematics

A chapter in Imagine Math, 2012, pp 175-185 from Springer

Abstract: Abstract In this paper we introduce the readers to the concept of “leading number”, as proposed by J. H. Conway in the seventies of the last century. The leading number, associated to a word w, is a binary vector that describes some special aspects of the structure of w. We shall see that it conveys the essential information that is needed in the analysis of the time of occurrence of w in a random sequence of letters.

Keywords: Random Sequence; Integer Number; Applied Probability; Discrete Random Variable; Classical Topic (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2427-4_17

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DOI: 10.1007/978-88-470-2427-4_17

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