27 citations · 116 across the 31 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math-ph2022★ 1 cited
Hyperuniformity and non-hyperuniformity of quasicrystals
Michael Björklund, Tobias Hartnick
We develop a general framework to study hyperuniformity of various mathematical models of quasicrystals. Using this framework we provide examples of non-hyperuniform quasicrystals…
math.GR2022
Higher finiteness properties of arithmetic approximate lattices: The Rank Theorem for number fields
Tobias Hartnick, Stefan Witzel
We introduce geometric and homological finiteness properties for countable approximate groups via coarse geometry and then study these finiteness properties for S-arithmetic reduct…
math.GR2022
Stabilization of Bounded Cohomology for Classical Groups
Carlos De la Cruz Mengual, Tobias Hartnick
We show that bounded cohomology stabilizes along sequences of classical Lie groups, and along sequences of lattices in them. Our method is based on a criterion from (arXiv:2307.128…