3 citations · 6 across the 11 of their papers we have counts for
13 papers
Stability for boundary actions of cocompact lattices in Euclidean buildings
Thang Nguyen, Theodore Weisman
When is a locally compact Euclidean building, the isometry group of acts by homeomorphisms on the space of -simplices in the visual boundary of . We consider perturba…
Dehn filling in semisimple Lie groups
Theodore Weisman
We generalize one part of Thurston's hyperbolic Dehn filling theorem to arbitrary-rank semisimple Lie groups by showing that certain deformations of extended geometrically finite s…
Singular value gap estimates for free products of semigroups
Konstantinos Tsouvalas, Theodore Weisman
We establish lower estimates for singular value gaps of free products of -divergent semigroups which are in ping-pong position. As an…
Limits of limit sets in rank-one symmetric spaces
Antonin Guilloux, Theodore Weisman
We consider the question of continuity of limit sets for sequences of geometrically finite subgroups of isometry groups of rank-one symmetric spaces, and prove analogues of classic…
Morse properties in convex projective geometry
Mitul Islam, Theodore Weisman
We study properties of "hyperbolic directions" in groups acting cocompactly on properly convex domains in real projective space, from three different perspectives simultaneously: t…
Topological stability of relatively hyperbolic groups acting on their boundaries
Kathryn Mann, Jason Fox Manning, Theodore Weisman
We prove a topological stability result for the actions of hyperbolic groups on their Bowditch boundaries. More precisely, we show that a sufficiently small perturbation of the sta…
Examples of extended geometrically finite representations
Theodore Weisman
This is the second of a pair of papers on extended geometrically finite (EGF) representations, which were originally posted as a single article under the title "An extended definit…
Cubulated hyperbolic groups admit Anosov representations
Sami Douba, Balthazar Fléchelles, Theodore Weisman +1
We prove that any hyperbolic group acting properly discontinuously and cocompactly on a cube complex admits a projective Anosov representation into $\mathrm{SL}(d…
Combination theorems for geometrically finite convergence groups
Alec Traaseth, Theodore Weisman
We prove combination theorems in the spirit of Klein and Maskit in the context of discrete convergence groups acting geometrically finitely on their limit sets. As special cases, w…
Stability of hyperbolic groups acting on their boundaries
Kathrynn Mann, Jason Fox Manning, Theodore Weisman
A hyperbolic group acts by homeomorphisms on its Gromov boundary. We use a dynamical coding of boundary points to show that such actions are topologically stable in the dynamical s…
An extended definition of Anosov representation for relatively hyperbolic groups
Theodore Weisman
We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher r…
Dynamical properties of convex cocompact actions in projective space
Theodore Weisman
We give a dynamical characterization of convex cocompact group actions on properly convex domains in projective space in the sense of Danciger-Gueritaud-Kassel: we show that convex…
Realization of groups with pairing as Jacobians of finite graphs
Louis Gaudet, David Jensen, Dhruv Ranganathan +2
We study which groups with pairing can occur as the Jacobian of a finite graph. We provide explicit constructions of graphs whose Jacobian realizes a large fraction of odd groups w…