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math.GR2026
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…
math.GR2024
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 logarithmi…
math.GR2024
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…