46 citations · 209 across the 32 of their papers we have counts for
34 papers
The cost of cyclic permutations and remainder sums in the Euclidean algorithm
Valentin Blomer, Kai-Uwe Bux
We discuss a modification to the Gries-Mills block swapping scheme for in-place rotation with average costs of 1.85 moves per element and worst case performance still at 3 moves pe…
Geometric invariants of locally compact groups: the homological perspective
Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha
In this paper we develop the homological version of -theory for locally compact Hausdorff groups, leaving the homotopical version for another paper. Both versions are connected…
Geometric invariants of locally compact groups: the homotopical perspective
Kai-Uwe Bux, Elisa Hartmann, José Pedro Quintanilha
We extend the classical theory of homotopical -sets developed by Bieri, Neumann, Renz and Strebel for abstract groups, to -sets for locally compact…
On the Boone--Higman Conjecture for groups acting on locally finite trees
Kai-Uwe Bux, Claudio Llosa Isenrich, Xiaolei Wu
We develop a method for proving the Boone--Higman Conjecture for groups acting on locally finite trees. As a consequence, we prove the Boone--Higman Conjecture for all Baumslag--So…
Spectral correspondences for finite graphs without dead ends
Kai-Uwe Bux, Joachim Hilgert, Tobias Weich
We compare the spectral properties of two kinds of linear operators characterizing the (classical) geodesic flow and its quantization on connected locally finite graphs without dea…
Surface Houghton groups
Javier Aramayona, Kai-Uwe Bux, Heejoung Kim +1
For every , the {\em surface Houghton group} is defined as the asymptotically rigid mapping class group of a surface with exactly ends, all of them non-p…