Abstract We study the systole of a model of random hyperbolic 3‐manifolds introduced in Petri and Raimbault Comment. Math. Helv. 97 (2022), no. 4, 729–768, answering a question posed in that same article. These are compact manifolds with boundary constructed by randomly gluing truncated tetrahedra along their faces. We prove that the limit, as the volume tends to infinity, of the expected value of their systole exists and we give a closed formula of it. Moreover, we compute a numerical approximation of this value.
Anna Roig‐Sanchis (Sun,) studied this question.
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