2 citations · 3 across the 6 of their papers we have counts for
7 papers
Uniformly affine actions on Banach spaces: growth of cocycles
Kevin Boucher, Georg Grutzner
We investigate growth properties of cocycles with values in uniformly bounded representations on super-reflexive Banach spaces; this includes -spaces for as well…
Boundary representations of hyperbolic groups: the log-Sobolev case
Kevin Boucher, Ján Špakula
We study boundary representations of hyperbolic groups on the (compactly embedded) function space , the domain of the logarithmic L…
Sobolev spaces and uniform boundary representations
Kevin Boucher, Jan Spakula
We prove uniform boundedness of certain boundary representations on appropriate fractional Sobolev spaces with for arbitrary Gromov hyperbolic groups. These are clo…
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…
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…
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…