Geodesic
Dimensions of products of hyperbolic spaces
Algebra i analiz, Tome 19 (2007) no. 1, pp. 149-176.

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Estimates on asymptotic dimension are given for products of general hyperbolic spaces, with applications to hyperbolic groups. Examples are presented where strict inequality occurs in the product theorem for the asymptotic dimension in the class of hyperbolic groups and in the product theorem for the hyperbolic dimension. It is proved that $\mathbb{R}$ is dimensionally full for the asymptotic dimension in the class of hyperbolic groups.
Keywords: Asymptotic dimension, hyperbolic groups, linearly controlled dimension, quasi-isometry invariants. 
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N. Lebedeva. Dimensions of products of hyperbolic spaces. Algebra i analiz, Tome 19 (2007) no. 1, pp. 149-176. http://geodesic.mathdoc.fr/item/AA_2007_19_1_a6/

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