149 citations · 595 across the 59 of their papers we have counts for
4 papers · 1 filter
Hierarchically hyperbolic spaces I: curve complexes for cubical groups
Jason Behrstock, Mark F. Hagen, Alessandro Sisto
In the context of CAT(0) cubical groups, we develop an analogue of the theory of curve complexes and subsurface projections. The role of the subsurfaces is played by a collection o…
Characterising actions on trees yielding non-trivial quasimorphisms
Alessandra Iozzi, Cristina Pagliantini, Alessandro Sisto
We study the construction of quasimorphisms on groups acting on trees introduced by Monod and Shalom, that we call median quasimorphisms, and in particular we fully characterise ac…
Deviation inequalities and CLT for random walks on acylindrically hyperbolic groups
Pierre Mathieu, Alessandro Sisto
We study random walks on groups with the feature that, roughly speaking, successive positions of the walk tend to be "aligned". We formalize and quantify this property by means of…
Infinitely presented graphical small cancellation groups are acylindrically hyperbolic
Dominik Gruber, Alessandro Sisto
We prove that infinitely presented graphical small cancellation groups are acylindrically hyperbolic. In particular, infinitely presented classical -groups and, hence…