200 citations · 646 across the 25 of their papers we have counts for
14 papers · 1 filter
Quasiflats in hierarchically hyperbolic spaces
Jason Behrstock, Mark F Hagen, Alessandro Sisto
The rank of a hierarchically hyperbolic space is the maximal number of unbounded factors in a standard product region. For hierarchically hyperbolic groups, this coincides with the…
Combinatorial higher dimensional isoperimetry and divergence
Jason Behrstock, Cornelia Drutu
In this paper we provide a framework for the study of isoperimetric problems in finitely generated group, through a combinatorial study of universal covers of compact simplicial co…
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…
Higher dimensional divergence for mapping class groups
Jason Behrstock, Cornelia Drutu
In this paper we investigate the higher dimensional divergence functions of mapping class groups of surfaces and of CAT(0)--groups. We show that, for mapping class groups of surfac…
Divergence, thick groups, and short conjugators
Jason Behrstock, Cornelia Drutu
In this paper we explore relationships between divergence and thick groups, and with the same techniques we estimate lengths of shortest conjugators. We produce examples, for every…
Quasi-isometric classification of non-geometric 3-manifold groups
Jason Behrstock, Walter D Neumann
We describe the quasi-isometric classification of fundamental groups of irreducible non-geometric 3-manifolds which do not have "too many" arithmetic hyperbolic geometric component…