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As a recent excellent example of mutual interplay between the Cauchy-Riemann structure and physical spacetime geometry, we present, in this paper, a few fresh ideas on this fruitful relationship with respect to the conformal geometry and the groups of motions of Lorentzian manifolds.
The global Markov property (GMP) has been shown in various cases under various conditions by quite different methods. Here we investigate the problem of the GMP (for lattice spin systems) from the nonstandard point of view. By embedding the given system into a hyperfinite system we are able to...
The interface between Racah coefficients and mathematics is reviewed and several unsolved problems pointed out. The specific goal of this investigation is to determine zeros of these coefficients. The general polynomial is given whose set of zeros contains all nontrivial zeros of Racah (6j)...
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