Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Boucher, Kevin"'
Autor:
Boucher, Kevin, Špakula, Ján
We study boundary representations of hyperbolic groups $\Gamma$ on the (compactly embedded) function space $W^{\log,2}(\partial\Gamma)\subset L^2(\partial\Gamma)$, the domain of the logarithmic Laplacian on $\partial\Gamma$. We show that they are not
Externí odkaz:
http://arxiv.org/abs/2408.06446
Autor:
Boucher, Kevin
In this paper we introduce a notion of Poincar\'e exponent for isometric representations of discrete groups on Hilbert spaces. Similarly as growth exponents control the geometry this exponent is shown to control the size of spectral gaps. Following s
Externí odkaz:
http://arxiv.org/abs/2401.16962
Autor:
Boucher, Kevin, Spakula, Jan
We prove uniform boundedness of certain boundary representations on appropriate fractional Sobolev spaces $W^{s,p}$ with $p>1$ for arbitrary Gromov hyperbolic groups. These are closed subspaces of $L^p$ and in particular Hilbert spaces in the case $p
Externí odkaz:
http://arxiv.org/abs/2306.09999
Autor:
Boucher, Kevin
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 natural non-trivial reduced cohomology class $[c]$. An analogue of Kuhn-Vers
Externí odkaz:
http://arxiv.org/abs/2012.00427
Autor:
Boucher, Kevin
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 approach is purely dynamical and generalizes the constructions known for n
Externí odkaz:
http://arxiv.org/abs/2007.15369
Autor:
Boucher, Kevin
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 actions and the irreducibility of the associated quasi-regular represen
Externí odkaz:
http://arxiv.org/abs/2001.03932
Autor:
Boucher, Kévin
In this paper we give sufficient conditions for a free product of residually finite groups to admit an embeddable box space. This generalizes the constructions of Arzhantseva, Guentner and Spakula in arXiv:1101.1993v2 and gives a new class of non-ame
Externí odkaz:
http://arxiv.org/abs/1801.04889
Autor:
Boucher, Kevin
Publikováno v:
Australian How to Paint; 2024, Issue 50, p56-59, 4p, 9 Cartoon or Caricatures
Autor:
Boucher, Kevin
Publikováno v:
Australian How to Paint; 2024, Issue 50, p60-62, 3p, 3 Color Photographs, 7 Cartoon or Caricatures
Autor:
Boucher, Kevin
In this paper we extend the construction of special representations to convex-cocompact isometry groups of CAT(-1) spaces which admits complementary series. We prove that these limits of complementary series have a natural non-vanishing reduced cohom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=arXiv_______::5775bab2082e3b4aec8266e6b82cea2f
http://arxiv.org/abs/2012.00427
http://arxiv.org/abs/2012.00427