3 papers
math.GR2025
Vertex-transitive graphs with uniformly bisecting quasi-geodesics
Joseph Paul MacManus
Suppose that is an infinite, connected, locally finite, quasi-transitive graph with the property that every bi-infinite quasi-geodesic uniformly coarsely separates into exa…
math.GR2022
Deciding if a hyperbolic group splits over a given quasiconvex subgroup
Joseph MacManus
We present an algorithm which decides whether a given quasiconvex residually finite subgroup of a hyperbolic group is associated with a splitting. The methods developed als…
quant-ph2020
Quantum speedups of some general-purpose numerical optimisation algorithms
Cezar-Mihail Alexandru, Ella Bridgett-Tomkinson, Noah Linden +3
We give quantum speedups of several general-purpose numerical optimisation methods for minimising a function . First, we show that many techniques fo…