149 citations · 595 across the 59 of their papers we have counts for
4 papers · 2 filters
Intersection properties of stable subgroups and bounded cohomology
Yago Antolín, Mahan Mj, Alessandro Sisto +1
We show that a finite collection of stable subgroups of a finitely generated group has finite height, finite width and bounded packing. We then use knowledge about intersections of…
Largest projections for random walks and shortest curves in random mapping tori
Alessandro Sisto, Samuel J. Taylor
We show that the largest subsurface projection distance between a marking and its image under the nth step of a random walk grows logarithmically in n, with probability approaching…
Many Haken Heegaard splittings
Alessandro Sisto
We give a simple criterion for a Heegaard splitting to yield a Haken manifold. As a consequence, we construct many Haken manifolds, in particular homology spheres, with prescribed…
Boundaries and automorphisms of hierarchically hyperbolic spaces
Matthew G. Durham, Mark F. Hagen, Alessandro Sisto
Hierarchically hyperbolic spaces provide a common framework for studying mapping class groups of finite type surfaces, Teichmüller space, right-angled Artin groups, and many other…