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math.GR2020
Special affine representations for hyperbolic groups
Kevin Boucher
In this paper we extend the construction of special representations to Gromov hyperbolic groups which admits complementary series. We prove that these representations have a natura…
math.GR2020★ 1 cited
Analogs of complementary series for CAT(-1) groups
Kevin Boucher
In this paper we extend the construction of complementary series representations to convex-cocompact isometry groups of CAT(-1) spaces with conditionally negative metrics. Our appr…
math.DS2020★ 2 cited
Random walks in negative curvature and boundary representations
Kevin Boucher
In this paper we establish a version of the Margulis Roblin equidistribution theorem's for harmonic measures. As a consequence a von Neumann type theorem is obtained for boundary a…