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The mixmaster universe is unambiguously chaotic
Neil J. Cornish, Janna J. Levin
The Mixmaster or Bianchi IX cosmological model has become one of the archetypal settings for studying gravitational dynamics. The past decade has seen a vigourous debate about whet…
Fractals and Symbolic Dynamics as Invariant Descriptors of Chaos in General Relativity
Neil J. Cornish
The study of dynamics in general relativity has been hampered by a lack of coordinate independent measures of chaos. Here I review a variety of invariant measures for quantifying c…
Measuring the Topology of the Universe
Neil J. Cornish, David N. Spergel, Glenn D. Starkman
Observations of microwave background fluctuations can yield information not only about the geometry of the universe, but potentially about the topology of the universe. If the univ…
Chaos in Quantum Cosmology
Neil Cornish, Paul Shellard
Much of the foundational work on quantum cosmology employs a simple minisuperspace model describing a Friedmann-Robertson-Walker universe containing a massive scalar field. We show…
Can COBE see the shape of the universe?
Neil Cornish, David Spergel, Glenn Starkman
In recent years, the large angle COBE--DMR data have been used to place constraints on the size and shape of certain topologically compact models of the universe. Here we show that…