704 citations · 2.4k across the 64 of their papers we have counts for
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math.GT2018
Excursions of generic geodesics in right-angled Artin groups and graph products
Yulan Qing, Giulio Tiozzo
Motivated by the notion of cusp excursion in geometrically finite hyperbolic manifolds, we define a notion of excursion in any subgroup of a given group, and study its asymptotic d…
math.GT2018
A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture
Ilya Gekhtman, Samuel J. Taylor, Giulio Tiozzo
We prove a central limit theorem for the length of closed geodesics in any compact orientable hyperbolic surface. In the special case of a hyperbolic pair of pants, this settles a…
math.GT2018★ 7 cited
Random walks, WPD actions, and the Cremona group
Joseph Maher, Giulio Tiozzo
We study random walks on groups of isometries of non-proper delta-hyperbolic spaces under the assumption that at least one element in the group satisfies Bestvina-Fujiwara's WPD co…