27 citations · 116 across the 31 of their papers we have counts for
5 papers · 1 filter
Analytic properties of approximate lattices
Michael Björklund, Tobias Hartnick
We introduce a notion of cocycle-induction for strong uniform approximate lattices in locally compact second countable groups and use it to relate (relative) Kazhdan- and Haagerup-…
Aperiodic order and spherical diffraction, II: Translation bounded measures on homogeneous spaces
Michael Björklund, Tobias Hartnick, Felix Pogorzelski
We study the auto-correlation measures of invariant random point processes in the hyperbolic plane which arise from various classes of aperiodic Delone sets. More generally, we stu…
Kac-Moody symmetric spaces
Walter Freyn, Tobias Hartnick, Max Horn +1
In the present article we introduce and study a class of topological reflection spaces that we call Kac-Moody symmetric spaces. These generalize Riemannian symmetric spaces of non-…
Approximate lattices
Michael Björklund, Tobias Hartnick
In this article we introduce and study uniform and non-uniform approximate lattices in locally compact second countable (lcsc) groups. These are approximate subgroups (in the sense…
Bounded cohomology and virtually free hyperbolically embedded subgroups
Tobias Hartnick, Alessandro Sisto
Using a probabilistic argument we show that the second bounded cohomology of an acylindrically hyperbolic group (e.g., a non-elementary hyperbolic or relatively hyperbolic grou…