26 citations · 36 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
Strong hyperbolicity
Bogdan Nica, Jan Spakula
We propose the metric notion of strong hyperbolicity as a way of obtaining hyperbolicity with sharp additional properties. Specifically, strongly hyperbolic spaces are Gromov hyper…
Coarse non-amenability and coarse embeddings
Goulnara Arzhantseva, Erik Guentner, Jan Spakula
We construct the first example of a coarsely non-amenable (= without Guoliang Yu's property A) metric space with bounded geometry which coarsely embeds into a Hilbert space.
Controlled coarse homology and isoperimetric inequalities
Piotr Nowak, Jan Spakula
We study a coarse homology theory with prescribed growth conditions. For a finitely generated group G with the word length metric this homology theory turns out to be related to am…