Geodesic
Random groups and nonarchimedean lattices
Forum of Mathematics, Sigma, Tome 2 (2014)

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We consider models of random groups in which the typical group is of intermediate rank (in particular, it is not hyperbolic). These models are parallel to Gromov’s well-known constructions, and include for example a ‘density model’ for groups of intermediate rank. The main novelty is the higher rank nature of the random groups. They are randomizations of certain families of lattices in algebraic groups (of rank 2) over local fields. 
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     author = {SYLVAIN BARR\'E and MIKA\"EL PICHOT},
     title = {Random groups and nonarchimedean lattices},
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SYLVAIN BARRÉ; MIKAËL PICHOT. Random groups and nonarchimedean lattices. Forum of Mathematics, Sigma, Tome 2 (2014). doi: 10.1017/fms.2014.23

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