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20142026
most citedCubulated hyperbolic groups admit Anosov representations

3 citations · 6 across the 11 of their papers we have counts for

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math.GR2024

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…

math.GR2024

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…

math.GR2023★ 3 cited

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…

math.GR2023

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…

math.GR2022

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…

math.GR2022★ 2 cited

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…