149 citations · 595 across the 59 of their papers we have counts for
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Iterated asymptotic cones
Lars Scheele, Alessandro Sisto
Iterated asymptotic cones have been used by Druţu and Sapir to construct a group with uncountably many pairwise non-homeomorphic asymptotic cones. In this paper we define a class o…
Projections and relative hyperbolicity
Alessandro Sisto
We give an alternative definition of relative hyperbolicity based on properties of closest-point projections on peripheral subgroups. We also derive a distance formula for relative…
Separable and tree-like asymptotic cones of groups
Alessandro Sisto
Using methods from nonstandard analysis, we will discuss which metric spaces can be realized as asymptotic cones. Applying the results we will find in the context of groups, we wil…
Characterizing hyperbolic spaces and real trees
Roberto Frigerio, Alessandro Sisto
Let X be a geodesic metric space. Gromov proved that there exists k>0 such that if every sufficiently large triangle T satisfies the Rips condition with constant k times pr(T), whe…