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Asymptotic combinatorics of Artin–Tits monoids and of some other monoids

Abstract : We introduce methods to study the combinatorics of the normal form of large random elements in Artin-Tits monoids. These methods also apply in an axiomatic framework that encompasses other monoids such as dual braid monoids.
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https://hal.archives-ouvertes.fr/hal-02092649
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Submitted on : Monday, April 8, 2019 - 12:41:06 PM
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Samy Abbes, Sébastien Gouëzel, Vincent Jugé, Jean Mairesse. Asymptotic combinatorics of Artin–Tits monoids and of some other monoids. Journal of Algebra, Elsevier, 2019, 525, pp.497-561. ⟨10.1016/j.jalgebra.2019.01.019⟩. ⟨hal-02092649⟩

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