1 citations · 1 across the 3 of their papers we have counts for
5 papers
The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume
Simon T. Drewitz, Ruth Kellerhals
We show that the 1-cusped quotient of the hyperbolic space by the tetrahedral Coxeter group has minimal volume among all non-arithmetic cusped hyperbol…
Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups
Ruth Kellerhals, Livio Liechti
We show that not every Salem number appears as the growth rate of a cocompact hyperbolic Coxeter group. We also give a new proof of the fact that the growth rates of planar hyperbo…
Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five
Naomi Bredon, Ruth Kellerhals
For small , the known compact hyperbolic -orbifolds of minimal volume are intimately related to Coxeter groups of smallest rank. For and , these Coxeter groups are g…
The three smallest compact arithmetic hyperbolic 5-orbifolds
Vincent Emery, Ruth Kellerhals
We determine the three hyperbolic 5-orbifolds of smallest volume among compact arithmetic orbifolds, and we identify their fundamental groups with hyperbolic Coxeter groups. This g…
On the growth of cocompact hyperbolic Coxeter groups
Ruth Kellerhals, Genevieve Perren
For an arbitrary cocompact hyperbolic Coxeter group G with finite generator set S and complete growth function P(x)/Q(x), we provide a recursion formula for the coefficients of the…