5 papers
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…
Cyclic orders and actions of Leary--Minasyan groups on coarse spaces
Arka Banerjee, Kevin Schreve
We show that for , there are torsion-free CAT(0) groups with visual boundaries that embed into but which are not virtually the fundamental group of a compact aspher…
1-Uryson width and covers
Hannah Alpert, Arka Banerjee, Panos Papasoglu
We investigate the following question: Do there exist Riemannian polyhedra such that the 1-Uryson width of their universal covers is bounded but…
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…
Efficient Multivariate Initial Sequence Estimators for MCMC
Arka Banerjee, Dootika Vats
Estimating Monte Carlo error is critical to valid simulation results in Markov chain Monte Carlo (MCMC) and initial sequence estimators were one of the first methods introduced for…