From the 1 of 6 linked papers with an AI index.
6 papers
Stability for boundary actions of cocompact lattices in Euclidean buildings
Thang Nguyen, Theodore Weisman
The paper proves that small perturbations of the natural actions of cocompact lattices on the visual boundary of a Euclidean building are semi‑conjugate to the original action, est…
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…
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…
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…
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 a…