28 citations · 74 across the 6 of their papers we have counts for
6 papers
Quantifying the dynamics of coupled networks of switches and oscillators
Matthew R. Francis, Elana J. Fertig
Complex network dynamics have been analyzed with models of systems of coupled switches or systems of coupled oscillators. However, many complex systems are composed of components w…
Impact of Systematic Errors in Sunyaev-Zel'dovich Surveys of Galaxy Clusters
Matthew R. Francis, Rachel Bean, Arthur Kosowsky
Future high-resolution microwave background measurements hold the promise of detecting galaxy clusters throughout our Hubble volume through their Sunyaev-Zel'dovich (SZ) signature,…
The Construction of Spinors in Geometric Algebra
Matthew R. Francis, Arthur Kosowsky
The relationship between spinors and Clifford (or geometric) algebra has long been studied, but little consistency may be found between the various approaches. However, when spinor…
Geometric Algebra Techniques for General Relativity
Matthew R. Francis, Arthur Kosowsky
Geometric (Clifford) algebra provides an efficient mathematical language for describing physical problems. We formulate general relativity in this language. The resulting formalism…
Geodesics in the Generalized Schwarzschild Solution
Matthew R. Francis, Arthur Kosowsky
Since Schwarzshild discovered the point-mass solution to Einstein's equations that bears his name, many equivalent forms of the metric have been catalogued. Using an elementary coo…
General Stationary, Spherically-Symmetric Solutions in the Gauge Theory of Gravity
Matthew R. Francis, Arthur Kosowsky
This paper was withdrawn by the authors because it has been supplanted by gr-qc/0311007 and gr-qc/0311038.