149 citations · 595 across the 59 of their papers we have counts for
3 papers · 1 filter
Markov chains on hyperbolic-like groups and quasi-isometries
Antoine Goldsborough, Alessandro Sisto
We propose the study of Markov chains on groups as a "quasi-isometry invariant" theory that encompasses random walks. In particular, we focus on certain classes of groups acting on…
Extensions of Veech groups II: Hierarchical hyperbolicity and quasi-isometric rigidity
Spencer Dowdall, Matthew G. Durham, Christopher J. Leininger +1
We show that for any lattice Veech group in the mapping class group of a closed surface , the associated --extension group is a hierarchically hyperboli…
Extra-large type Artin groups are hierarchically hyperbolic
Mark Hagen, Alexandre Martin, Alessandro Sisto
We show that Artin groups of extra-large type, and more generally Artin groups of large and hyperbolic type, are hierarchically hyperbolic. This implies in particular that these gr…