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5 papers · 1 filter
Initial Conditions for Models of Dynamical Systems
Stephen M. Cox, A. J. Roberts
The long-time behaviour of many dynamical systems may be effectively predicted by a low-dimensional model that describes the evolution of a reduced set of variables. We consider th…
A Parallelizable Implicit Evolution Scheme for Regge Calculus
John W. Barrett, Mark Galassi, Warner A. Miller +3
The role of Regge calculus as a tool for numerical relativity is discussed, and a parallelizable implicit evolution scheme described. Because of the structure of the Regge equation…
Phonon Absorption at the Magneto-Roton Minimum in the Fractional Quantum Hall Effect
CJ Mellor, RH Eyles, JE Digby +6
We have made the first phonon absorption measurements in the fractional quantum Hall régime. Experiments have been conducted on two samples which have similar electron densities bu…
The equality of 3-manifold invariants
John W. Barrett, Bruce W. Westbury
The invariants of 3-manifolds defined by Kuperberg for involutory Hopf algebras and those defined by the authors for spherical Hopf algebras are the same for Hopf algebras on which…
First order Regge calculus
John W. Barrett
A first order form of Regge calculus is defined in the spirit of Palatini's action for general relativity. The extra independent variables are the interior dihedral angles of a sim…