13 citations · 19 across the 7 of their papers we have counts for
12 papers
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…
Coarse cubical rigidity
Elia Fioravanti, Ivan Levcovitz, Michah Sageev
We show that for many right-angled Artin and Coxeter groups, all cocompact cubulations coarsely look the same: they induce the same coarse median structure on the group. These are…
Counting lattices in products of trees
Nir Lazarovich, Ivan Levcovitz, Alex Margolis
A BMW group of degree is a group that acts simply transitively on vertices of the product of two regular trees of degrees and . We show that the number of commensura…
Non-quasiconvex subgroups of hyperbolic groups via Stallings-like techniques
Pallavi Dani, Ivan Levcovitz
We provide a new method of constructing non-quasiconvex subgroups of hyperbolic groups by utilizing techniques inspired by Stallings' foldings. The hyperbolic groups constructed ar…
Planar lattice subsets with minimal vertex boundary
Radhika Gupta, Ivan Levcovitz, Alexander Margolis +1
A subset of vertices of a graph is minimal if, within all subsets of the same size, its vertex boundary is minimal. We give a complete, geometric characterization of minimal sets f…
Characterizing divergence and thickness in right-angled Coxeter groups
Ivan Levcovitz
We completely classify the possible divergence functions for right-angled Coxeter groups (RACGs). In particular, we show that the divergence of any such group is either polynomial,…
Right-angled Artin subgroups of right-angled Coxeter and Artin groups
Pallavi Dani, Ivan Levcovitz
We determine when certain natural classes of subgroups of right-angled Coxeter groups (RACGs) and right-angled Artin groups (RAAGs) are themselves RAAGs. We characterize finite-ind…
Subgroups of right-angled Coxeter groups via Stallings-like techniques
Pallavi Dani, Ivan Levcovitz
We associate cube complexes called completions to each subgroup of a right-angled Coxeter group (RACG). A completion characterizes many properties of the subgroup such as whether i…
Comparing the Roller and B(X) boundaries of CAT(0) cube complexes
Ivan Levcovitz
The Roller boundary is a well-known compactification of a CAT(0) cube complex X. When X is locally finite, essential, irreducible, non-Euclidean and admits a cocompact action by a…
Thick groups have trivial Floyd boundary
Ivan Levcovitz
We prove that thick groups (and more generally thick graphs) have trivial Floyd boundary. This shows a wide class of finitely generated groups that are non-relatively hyperbolic ha…
A quasi-isometry invariant and thickness bounds for right-angled Coxeter groups
Ivan Levcovitz
We introduce a new quasi-isometry invariant of 2-dimensional right-angled Coxeter groups, the hypergraph index, that partitions these groups into infinitely many quasi-isometry cla…
Divergence of CAT(0) Cube Complexes and Coxeter Groups
Ivan Levcovitz
We provide geometric conditions on a pair of hyperplanes of a CAT(0) cube complex that imply divergence bounds for the cube complex. As an application, we classify all right-angled…