4 papers
Cusp Formation in Merging Black Hole Horizons
Shilpa Kastha, Stamatis Vretinaris, Daniel Pook-Kolb +1
An important question in binary black hole mergers is to connect properties of the remnant black hole to those of the two initial black holes. These properties include not only the…
Exact calculation of quantizer constants for arbitrary lattices
Daniel Pook-Kolb, Bruce Allen, Erik Agrell
We present an algorithm for the exact computer-aided construction of the Voronoi cells of lattices with known symmetry group. Our algorithm scales better than linearly with the tot…
Optimization and Identification of Lattice Quantizers
Erik Agrell, Daniel Pook-Kolb, Bruce Allen
Lattices with minimal normalized second moments are designed using a new numerical optimization algorithm. Starting from a random lower-triangular generator matrix and applying sto…
Parametric Lattices Are Better Quantizers in Dimensions 13 and 14
Daniel Pook-Kolb, Erik Agrell, Bruce Allen
New lattice quantizers with lower normalized second moments than previously reported are constructed in 13 and 14 dimensions and conjectured to be optimal. Our construction combine…