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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Well distributed occurrences property in infinite words




Date(s) : 07/11/2023   iCal
15h00 - 16h00

We say that an infinite word on a -ary alphabet has the well distributed occurrences property if, for each factor of , each positive integer , and each vector , there is an occurrence of such that the Parikh vector of the prefix of preceding such occurrence is congruent to modulo . In this talk we will discuss how aperiodic infinite words with well distributed occurrences can be used to produce aperiodic pseudorandom number generators with good statistical behavior. We study the well distributed occurrences property for certain families of infinite words including words generated by morphisms, Sturmian words and Arnoux–Rauzy words. The talk is based on new and old results..

 


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More info: https://www.i2m.univ-amu.fr/wiki/Combinatorics-on-Words-seminar/

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Virtual event

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