42 citations · 68 across the 9 of their papers we have counts for
7 papers · 1 filter
Connectivity of Coxeter group Morse boundaries
Matthew Cordes, Ivan Levcovitz
We study the connectivity of Morse boundaries of Coxeter groups. We define two conditions on the defining graph of a Coxeter group: wide-avoidant and wide-spherical-avoidant. We sh…
Foundations of geometric approximate group theory
Matthew Cordes, Tobias Hartnick, Vera Tonić
We develop the foundations of a geometric theory of countably-infinite approximate groups, extending work of Björklund and the second-named author. Our theory is based on the notio…
Regularity of Morse geodesics and growth of stable subgroups
Matthew Cordes, Jacob Russell, Davide Spriano +1
We prove that Morse local-to-global groups grow exponentially faster than their infinite index stable subgroups. This generalizes a result of Dahmani, Futer, and Wise in the contex…
An embedding of the Morse boundary in the Martin boundary
Matthew Cordes, Matthieu Dussaule, Ilya Gekhtman
We construct a one-to-one continuous map from the Morse boundary of a hierarchically hyperbolic group to its Martin boundary. This construction is based on deviation inequalities g…
Relatively hyperbolic groups with fixed peripherals
Matthew Cordes, David Hume
We build quasi--isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts of the group; these are variations of the stable dimension constructions previ…
Boundary convex cocompactness and stability of subgroups of finitely generated groups
Matthew Cordes, Matthew Gentry Durham
A Kleinian group is called convex cocompact if any orbit of in is quasiconvex or, equivalently, acts cocompactly on the convex…
Random nilpotent groups I
Matthew Cordes, Moon Duchin, Yen Duong +2
We study random nilpotent groups in the well-established style of random groups, by choosing relators uniformly among freely reduced words of (nearly) equal length and letting the…