4 papers
Enumerating Integral Points on Triangles in
Max Aldrich, Daniel Gulbrandsen, Clara Keddy
We present two ways of constructing Ehrhart polynomials corresponding to certain triangles in . One of our methods employs Popoviciu's Theorem, while the other method…
Boundary Dynamics, Cubical Actions, and Infinite Girth
Tattwamasi Amrutam, Arka Banerjee, Daniel L. Gulbrandsen +1
We develop two methods for proving infinite girth from boundary dynamics. First, we use topologically free extreme boundary actions to give a boundary-dynamical proof of infinite g…
On the Girth of Groups acting on CAT(0) cube complexes
Arka Banerjee, Daniel Gulbrandsen, Pratyush Mishra +1
We obtain a sufficient condition for lattices in the automorphism group of a finite dimensional CAT(0) cube complex to have infinite girth. As a corollary, we get a version of Girt…
A generalized theory of expansions and collapses with applications to Z-compactification
Craig R. Guilbault, Daniel Gulbrandsen
We generalize the dual notions of "expansion" and "collapse" so they can be applied to arbitrary metric spaces. We also expand the theory to allow for infinitely many such moves. T…