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Browsing Faculty Research Publications (Mathematics) by Issue Date

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Browsing Faculty Research Publications (Mathematics) by Issue Date

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  • Dray, Tevian (American Institute of Physics, 1985-05)
    We compare two independent generalizations of the usual spherical harmonics, namely monopole harmonics and spin‐weighted spherical harmonics, and make precise the sense in which they can be considered to be the same. By ...
  • Dray, Tevian (American Institute of Physics, 1986-03)
    A unified, self‐contained treatment of Wigner D functions, spin‐weighted spherical harmonics, and monopole harmonics is given, both in coordinate‐free language and for a particular choice of coordinates.
  • Dray, Tevian; Kulkarni, Ravi; Samuel, Joseph (American Institute of Physics, 1989-06)
    In four dimensions, two metrics that are conformally related define the same Hodge dual operator on the space of two‐forms. The converse, namely, that two metrics that have the same Hodge dual are conformally related, is ...
  • Dray, Tevian; Manogue, Corinne A.; Tucker, Robin W. (American Physical Society, 1993-09-15)
    We consider the (massless) scalar field on a two-dimensional manifold with metric that changes signature from Lorentzian to Euclidean. Requiring a conserved momentum in the spatially homogeneous case leads to a particula ...
  • Hellaby, Charles; Dray, Tevian (American Physical Society, 1994-05-15)
    The divergence theorem as usually stated cannot be applied across a change of signature unless it is reexpressed to allow for a finite source term on the signature change surface. Consequently all conservation laws must ...
  • Dray, Tevian; Hellaby, Charles (American Institute of Physics, 1994-11)
    The divergence theorem in its usual form applies only to suitably smooth vector fields. For vector fields which are merely piecewise smooth, as is natural at a boundary between regions with different physical properties, ...
  • Boersma, Stuart; Dray, Tevian (American Institute of Physics, 1995-03)
    A parametric manifold is a manifold on which all tensor fields depend on an additional parameter, such as time, together with a parametric structure, namely a given (parametric) one‐form field. Such a manifold admits nat ...
  • Boersma, Stuart; Dray, Tevian (American Institute of Physics, 1995-03)
    A parametric manifold can be viewed as the manifold of orbits of a (regular) foliation of a manifold by means of a family of curves. If the foliation is hypersurface orthogonal, the parametric manifold is equivalent to t ...
  • Hellaby, Charles; Dray, Tevian (American Physical Society, 1995-12-15)
    We contrast the two approaches to ‘‘classical’’ signature change used by Hayward with the one used by us (Hellaby and Dray). There is (as yet) no rigorous derivation of appropriate distributional field equations. Hayward ...
  • Davies, Paul C. W.; Dray, Tevian; Manogue, Corinne A. (American Physical Society, 1996-04-15)
    We derive conditions for rotating particle detectors to respond in a variety of bounded spacetimes and compare the results with the folklore that particle detectors do not respond in the vacuum state appropriate to the ...
  • Schray, Jorg; Dray, Tevian; Manogue, Corinne A.; Tucker, Robin W.; Wang, Charles (American Institute of Physics, 1996-08)
    We examine some of the subtleties inherent in formulating a theory of spinors on a manifold with a smooth degenerate metric. We concentrate on the case where the metric is singular on a hypersurface that partitions the m ...
  • Dray, Tevian (American Institute of Physics, 1996-11)
    We discuss Einstein’s field equations in the presence of signature change using variational methods, obtaining a generalization of the Lanczos equation relating the distributional term in the stress tensor to the discont ...
  • Clark, G. W.; Showalter, R. E. (Texas State University, 1999-01-14)
    The distributed-microstructure model for the flow of single phase fluid in a partially fissured composite medium due to Douglas-Peszyńska-Showalter [12] is extended to a quasi-linear version. This model contains the ge ...
  • Edwards, Barbara S.; Ward, Michael B. (Mathematical Association of America, 2004-05)
  • Edwards, Barbara S.; Ward, Michael B. ([Bozeman, Mt.] : Science Math Resources Center, 2005-09)
  • Peszyńska, Malgorzata; Showalter, Ralph E. (Texas State University, 2007-11-05)
    See article for Abstract.
  • Edwards, Barbara; Ward, Michael B. (Mathematical Association of America, 2008)
  • Banks, H. T.; Bokil, V. A.; Gibson, N. L. (Wiley InterScience, 2009-07)
    We study the stability properties of, and the phase error present in, a finite element scheme for Maxwell’s equations coupled with a Debye or Lorentz polarization model. In one dimension we consider a second order form ...
  • Cook, Samuel A.; Dray, Tevian (American Institute of Physics, 2009-12)
    A definition is suggested for affine symmetry tensors, which generalize the notion of affine vectors in the same way that (conformal) Killing tensors generalize (conformal) Killing vectors. An identity for these tensors ...
  • Appuhamillage, T. A.; Bokil, V. A.; Thomann, E.; Waymire, E.; Wood, B. (Institute of Mathematical Statistics, 2010)
    Advective skew dispersion is a natural Markov process defined ned by a di ffusion with drift across an interface of jump discontinuity in a piecewise constant diff usion coeffcient. In the absence of drift this proces ...

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